Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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#26 2011-08-01 20:59:24
- gAr
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Re: Series
Hi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#27 2011-08-01 21:27:27
- bobbym
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Re: Series
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#28 2011-08-01 21:34:45
- gAr
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Re: Series
Hi,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#29 2011-08-01 21:40:21
- bobbym
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Re: Series
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#30 2011-08-01 21:43:36
- gAr
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Re: Series
Hi,
You integrated only LHS???!!!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#31 2011-08-01 21:51:07
- bobbym
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Re: Series
Hi gAr;
I forgot that?! But it is not helping, now I am getting pi^3 / 6 for the RHS ( I used a definite integration from 0 to pi )
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#32 2011-08-01 21:52:56
- gAr
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Re: Series
Hi bobbym,
Now it's okay.
Remember that there is a pi on the LHS.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#33 2011-08-01 21:56:43
- bobbym
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Re: Series
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#34 2011-08-01 22:00:25
- gAr
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Re: Series
Hi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#35 2011-08-01 22:02:15
- bobbym
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Re: Series
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#36 2011-08-01 22:07:00
- gAr
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Re: Series
You are welcome!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#37 2011-08-01 22:47:34
- bobbym
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Re: Series
Next ones look tougher!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#38 2011-08-01 22:53:39
- gAr
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Re: Series
Hi,
Here's a solution
Hi bobbym,
Trigonometric identities will be useful for the other two.
Of course, other methods may be there, I don't know yet!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#39 2011-08-01 23:33:15
- bobbym
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Re: Series
Hi gAr;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#40 2011-08-01 23:41:19
- gAr
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Re: Series
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#41 2011-08-01 23:43:10
- bobbym
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Re: Series
Hi;
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#42 2011-08-01 23:44:23
- gAr
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Re: Series
Hi,
Which step?
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#43 2011-08-01 23:46:50
- bobbym
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Re: Series
Hi gAr;
I can not do this sum!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#44 2011-08-01 23:52:22
- gAr
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Re: Series
Oh, we are not evaluating there. We substitute for z from the previous step.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#45 2011-08-01 23:55:29
- bobbym
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Re: Series
Hi;
I got it now! Thanks!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#46 2011-08-02 00:00:24
- gAr
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Re: Series
You're welcome!
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#47 2011-08-02 00:08:28
- gAr
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Re: Series
I see that term by term integration works wonders in some of the cases!
5)
Find
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#48 2011-08-02 00:22:01
- anonimnystefy
- Real Member
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Re: Series
hi gAr
Last edited by anonimnystefy (2011-08-02 00:23:53)
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#49 2011-08-02 00:32:08
- gAr
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Re: Series
Hi anonimnystefy,
You may try.
But if you try to sum the fractions separately, they both diverge.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
#50 2011-08-02 16:56:53
- bobbym
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Re: Series
Hi gAr;
Working on 5), it is a nice one.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.