perplexus.info :: Calculus : Factorial Ratio Sum Puzzle

Factorial Ratio Sum Puzzle (Posted on 2015-08-04)

Define:
A(k) = k! + (k+1)! + (k+2)!, and:

B(n) = Σ_{k=1 to n} (k+2)/A(k)

Evaluate:

Limit B(n)
n → ∞

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required limit is 0.5.
For an explanation, refer to the solution submitted by xdog in this location.

Comments: ( You must be logged in to post comments.)

Subject Author Date

more demonstration than proof xdog 2015-08-04 10:30:53

computer solution: It quickly converges Charlie 2015-08-04 09:14:25

a logical guess, not a proof Ady TZIDON 2015-08-04 07:53:09

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