Expand `f(x) = e^(3x)` on a maclaurin's series

Expand f(x) = e^(-2x) as a Maclaurin's series

Expand log (1+x) as a Maclaurin 's series upto 4 non-zero terms for -1 lt x le 1 .

Expand : (3x-2)(3x-5)

Expand (2x - 3x^2)^5

Expand f(x) = cos x in Taylors series about x =(pi)/(4)

Expand tan x maclaurin 's series in asending powers of x upto 5^(th) power for -(pi)/(2) lt x lt (pi)/(2) .

Expand (1+ 2 x + 3x^(2) )^(n) in a series of ascending powers of x up to and including the term in x^2 .

Expand (3x- 1/(2x))^(4)

Expand (3x^2- x/2)^5

Expand (3x^2- x/2)^5