00 1 = 1- x +x² - .+(-1)"x" + ... = (-1)* 1+ x (-1)"x". %3D n=0 1 f(x) = 1+ x2

Find the sum of the series

You are given the Taylor series: 1 =1+x+x + x° + if |æ| < 1. .. 1- x Find the third term of Taylor Series for the function and determine IOC f (x) = 5 In(5 – x)

6 Use substitution to find the Taylor series at x = 0 of the function 1- 4x ... What is the general expression for the kth term for the Taylor series at x= 0 for 1- 4x 00 k = 0 8 W