#1**0 **

Maclaurin's expansion of Tan x

x + x^3/3 + (2 x^5)/15 + (17 x^7)/315 + (62 x^9)/2835 + (1382 x^11)/155925 + ........etc.

You would use this summation formula to generate the series:

Sum(from n=0 to infinity) (2^(2n) (2^(2n) - 1)) / ((2n)!) (B(n) x^(2n - 1)), where B(n)=Bernoulli numbers.

Guest Jul 2, 2017

#1**0 **

Best Answer

Maclaurin's expansion of Tan x

x + x^3/3 + (2 x^5)/15 + (17 x^7)/315 + (62 x^9)/2835 + (1382 x^11)/155925 + ........etc.

You would use this summation formula to generate the series:

Sum(from n=0 to infinity) (2^(2n) (2^(2n) - 1)) / ((2n)!) (B(n) x^(2n - 1)), where B(n)=Bernoulli numbers.

Guest Jul 2, 2017