Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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You are not logged in. #126 2011-07-02 22:07:21
Re: Limits!hi gAr Last edited by anonimnystefy (2011-07-02 22:07:31) 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 #127 2011-07-02 22:10:13
Re: Limits!Hi anonimnystefy, "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." #128 2011-07-03 00:47:06
Re: Limits!12) Warning! Easy problem "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." #129 2011-07-03 01:39:39
Re: Limits!hi gAr Last edited by anonimnystefy (2011-07-03 01:40:04) 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 #130 2011-07-03 01:52:45
Re: Limits!Hi anonimnystefy, "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." #131 2011-07-04 17:56:07
Re: Limits!9)
Let x = 1/y. As x --> 0, then 1/y --> 0. Notes: -------- Step 2 to step 3 used the Binomial Theorem. Step 3 through step 5 could use some justification/details to support the continued patterns of terms and expressions, respectively. Last edited by reconsideryouranswer (2011-07-04 18:00:32) Signature line: I wish a had a more interesting signature line. #132 2011-07-04 18:46:53
Re: Limits!Hi reconsideryouranswer, "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." #133 2011-07-20 20:50:54
Re: Limits!hi gAr 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 #134 2011-07-20 21:28:46
Re: Limits!Hi anonimnystefy, "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." #135 2011-07-21 01:23:58
Re: Limits!hi gAr i haven't encountered it yet and its kind hasn't been mentioned in this topic but it is one of the easier limits of this kind Last edited by anonimnystefy (2011-07-21 01:24:45) 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 #136 2011-07-21 02:04:36
Re: Limits!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." #137 2011-07-21 02:16:45
Re: Limits!hi 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 #138 2011-07-21 03:53:57
Re: Limits!hi 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 #139 2011-07-22 23:44:23
Re: Limits!just keeping the topic alive... 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 #140 2011-07-23 01:55:34
Re: Limits!Hi anonimnystefy; I have never done one but I know how the packages do them. I think they nest the limits: Just plug x = 0 into the limit: 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. #141 2011-07-23 21:57:24
Re: Limits!hi bobbym Last edited by anonimnystefy (2011-07-23 21:59:42) 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 #142 2011-07-23 22:00:16
Re: Limits!you can do the second one as well. 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 #143 2011-07-24 15:52:12
Re: Limits!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. #144 2011-07-24 19:38:45
Re: Limits!hi bobbym 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 #145 2011-07-24 21:30:12
Re: Limits!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. #146 2011-07-24 21:39:10
Re: Limits!the first limit does not exist and the second one is correct but i tried to make a very bad joke. 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 #147 2011-07-24 21:42:58
Re: Limits!Hi; Does not exist? 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. #148 2011-07-24 21:53:41
Re: Limits!i said that the second limit you did exists.that is the one you did in post #143. 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 #149 2011-07-24 21:55:51
Re: Limits!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. #150 2011-07-24 22:04:29
Re: Limits!the one in #140 doesn't exist because when we aproach it from two different paths it has different values.it is similair to the situation with one variable limits when the left and the right limit do not match up. 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 |