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 → ∞

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

π/4.
For an explanation, refer to the analytic solution submitted by Harry in this location.

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

Subject	Author	Date
Analytic Solution	Harry	2016-05-19 11:26:19
re(4): summing the series via computer	ken	2016-05-11 21:23:55
re(3): summing the series via computer	Charlie	2016-05-11 14:55:30
re(2): summing the series via computer	Charlie	2016-05-11 14:45:20
re: summing the series via computer	ken	2016-05-11 14:27:17
summing the series via computer	Charlie	2016-05-11 10:19:23

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