perplexus.info :: Calculus : Sum ArcTan Limit

Sum ArcTan Limit (Posted on 2016-05-11)

F(k) denotes the kth Fibonacci Number.

Define:
G(n) = Σ_{k=1 to n} ArcTan((F(2k+1)^-1)

Find:
Limit G(n)
n → ∞

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

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

re(4): summing the series via computer

| Comment 5 of 6 |

Thank you for that explanation, Charlie!

Posted by ken on 2016-05-11 21:23:55

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