Reference no: EM131257925

Consider the function f(x)=1/(1-x).

a) Enter the degree- n term in the Maclaurin polynomial.

b) Enter the remainder term Rn(z) which will also be a function of x and n.

c) For negative x,find an upper bound for Rn(z)over all values of z between 0 and x.This upper bound will be a function of x and n.(Hint: the remainder term may be positive or negative depending on the value of n,to get an upper bound that works for all n you may need to make sure that your answer is always positive, since this will be an upper bound in either case.

d) Use this upper bound to find how many terms are needed to estimate f(-0.4) with an error term less than 10^-8