All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
Getting Powerful With Euler (Posted on 2009-07-28) Difficulty: 2 of 5
Evaluate:

††††††††††††(1 + y)1/y - e
Limit ††----------------
y → 0††††††††††y

Note: e denotes the Eulerís number.

See The Solution Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts numeric answer | Comment 1 of 3
UBASIC:
10   point 27
15   Y=0.5
20   for I=1 to 90
30     Y=Y/2
40     V=((1+Y)^(1/Y)-exp(1))/Y
50     print V
60   next
finds as the last two entries:
-1.35914091422952261768014373466991806904782567601876021709242718939902979642034
43495191498776452040027027579776751902846568026719688
-1.35914091422952261768014373517312465896322461143437000209395032049981367026803
53262908086216604099891709330087862649963007995599441

so an approximation is:

-1.359140914229522617680143735


  Posted by Charlie on 2009-07-28 12:31:41
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:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information