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I guess you know the answer, but unable to put it in proper words...
Any precise answer?
Tell me, where I go wrong
Step (1) :- 1/4 > 1/8
Step (2) :- (1/2)^2 > (1/2)^3
Taking log on both sides
Step (3) :- 2 log (1/2) > 3 log (1/2)
Cancelling log (1/2) on both sides
Step (4) :- 2 > 3
Obviously, 2 is not greater than 3,
but I started with a correct inequation;
Where did I go wrong???
0^0 is neither 0 nor 1;
it is simply not defined....
certain functions in mathematics are indeterminate,
like 0/0;
when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;
when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity
We know that at -40 degrees, degree centigrade is equal to degree Fahrenheit.
Can you guess at what temperature degree Fahrenheit would be equal to Kelvin?
Consider a room, 10m x 10m x 10m
A spider starting from one vertex, has to reach
the diagonally opposite vertex....
What's the minimum distance the spider would have to crawl?
Yes, my friend....
I discovered this more than 15 years back,
but very recently, I wrote a proof for this
The proof is on my website,
in the bottom of 'the number 'e''
page....
that is another elegant property of the number e....
i shall tell you one more...
into how many pieces has a number to be divided in order to get the maximum
product?
when the parts are closes to 'e' !
for example, when 10 is divided into two equal parts, the product is 25,
when diivided into three equal parts, the products is roughly 37.03...
but when divided into four parts (each part is 2.5, closest to 'e'),
the product is the maximum,,that is, 39.0625
No, gentleman.....
1.01^1.01^1.01^1.01.......... is not infinity.
For any value less than approximately 1.444667861, the resultant is NOT infinity...
I have got a proof for this....If you want, I shall e-mail it to you....
Please visit my 'Lots of Jokes' page....
at
http://www.geocities.com/ganesh91569
Well, the answer is 14.
Each person would shake hands with thirteen others,
resulting in 14 x 13 = 182
but a handshake involves two people....
divide that by 2, you get 91...
the way to solve this problem is n(n-1) = 91 x 2 = 182
Solve the equation, you get n=14.
My 100 clean jokes remain with me, ha!
e, the natural logarithm base is approximately 2.7182818284......
1.444667861 (approximately) is the value of eth root of e.
This is a very special number for two reasons.
(1) The maximum value of xth root of x for any value of x is obtained when x=e. This value, i.e. xth root of x is approximately 1.444667861.
(2) We all know 1 raised to itself ad infinitum is 1.
2 raised to itself ad infinitum is divergent, that is infinity.
But, there's a value between 1 and 2 for which the number raised to itself ad infinitum is a finite value.
The maximum such value is 1.444667861 (approximately) such that the number raised to itself ad infinitum remains finite. And this finite value=e.
Please feel free to mail me if you have any doubts.
I love this site...its cool........
I shall visit the website everyday,
for the next 65 years.....
Take the challenge.....
The first one to answer this question gets 100 clean jokes in his or her mailbox, free.................
In a get-together, every person present shakes hand with every other person once......
If there are 91 handshakes in all, how many people attended the party?
Don't take more than 5 minutes for answering this.
Can anyone tell me what's special about this number?
It is indeed a very special number...I shall tell you later.....
The number is
approximately
1.444667861............ and it goes on and on after the decimal.......
Ganesh