Expand `sinx` in ascending powers `x-pi/4` upto three non-zero terms.

Expand in ascending powers of sin x,

Expand 1/(5+x) in ascending powers of x.

Expand in ascending powers of x. 2^x ,

Expand (1)/(5+x) in ascending powers of x .

Expand in ascending powers of x. cos x,

Expand : 3sqrt(3) in ascending powers of (1)/(3)

Expand tan x in ascending power of x upto 5^(th) power for (-pi)/(2) lt x lt (pi)/(2)

Write down the Taylor series expansion, of the function logx about x = 1 upto three non zero terms for xgt0 .