Maclaurin Series

Find the terms through degree five of the Maclaurin series for 𝑓(𝑥)=11sin(𝑥)cos(𝑥).

Find  in the Maclaurin series ∑ n=0 ∞ an for ƒ(x) = 2x6 cos (x9) and find the interval on which the expansion is valid.

1.)a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an... more

Approximate the integral from 0 to 1 of (sin(x)/x) dx with an accuracy of 10^-6 using the Maclaurin series of sin, division of that Maclaurin series by x, and term-by-term integration. You will... more

find maclaurin series of 1/z+3i

The fuction sinh(x) is defined by sinh(X)= ( ex - e-x) / 2)    Find the maclaurin series and use the first two terms to estimate sinh(1/2) . The series should be written using summation notation... more