# Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - x) at x = 0. Give an upper bound for the magnitude of the error in the approximation when |x|<= 0.1.

Question

Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - x) at x = 0. Give an upper bound for the magnitude of the error in the approximation when |x|<= 0.1.