All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
>
Calculus
Getting Powerful With Euler II (
Posted on 20091110
)
Evaluate:
(1+ x)
^{1/x}
– e + e*x/2
Limit 
x → 0 x
^{2}
Note
: e denotes the
Euler’s number
.
See The Solution
Submitted by
K Sengupta
No Rating
Comments: (
Back to comment list
 You must be logged in to post comments.
)
puzzling
 Comment 1 of 4
A quick graph shows the answer to be 1.2 but I havent shown why.
(1+x)^(1/x) appears to approach e as x approaches 0 but if that is the case then the fraction becomes
e*x/2

x^2
which obviously does not have a limit as x approaches zero.
That is probably cheating but it puzzled me.
Posted by
Jer
on 20091110 15:27:08
Please log in:
Login:
Password:
Remember me:
Sign up!

Forgot password
Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ

About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2019 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information