perplexus.info :: Calculus : Getting Powerful With Euler II

Getting Powerful With Euler II (Posted on 2009-11-10)

Evaluate:

               (1+ x)^1/x – e + e*x/2
   Limit     --------------------------
   x → 0             x²

Note: e denotes the Euler’s number.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): puzzling

| Comment 3 of 4 |

(In reply to re: puzzling by Charlie)

I didn't want to post it because I felt it was cheating and want to try and find an analytical solution, Mathematica gives the solution as 11e/24=1.2458791713770623995

My first instinct was to use L'Hoptial's rule but it got really messy and I have yet to make any sense out of it.

Posted by Daniel on 2009-11-10 20:31:36

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info