1. Find a closed form expression for the MacLaurin series for f(x) = sinh(3x) 2. Find...

1. Find a closed form expression for the MacLaurin series for f(x) = sinh(3x)

2. Find a closed form expression for the Taylor series for f(x) = 4e^2x expanded at a=3

The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a real or complex number a is the power series

where n! denotes the factorial of n and fⁿ (a) denotes the nth derivative of f evaluated at the point a.

in summetion form it can be written as

Maclareen series is taylor series about zero i.e. a =0

in summetion form it can be written as

milcah answered 1 year ago

find the maclaurin series for f and its radius of convergence. (1) f(x) = 10^x (2) f(x) = e^x^2 (3) f(x) = (1-x)^-5 (4) f(x) = ln(1+x^2)

Find the Taylor series for f (x) = 2/(1+3x) at x = a where a = 0

Find the Maclaurin series for tan x and using that series, derive the Maclaurin series for sec^2(x)

Compute the Maclaurin series for the following functions: (a) f(x) = (2 + x)^5 (b) f(x) = (x^3) * sin(x^2)

What is the Maclaurin series for the function f(x)=arcsinx. Find the radius of convergence of the series.

find f'(x) 1. f(x)=3sinx-secx+5 _______ 2. f(x)=e^xcot(3x) _______ 3. f(x)= cos^5(3x-1) _______

Solutions