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## Homework Statement

a. Find the first four nonzero terms in the Taylor series expansion about x = 0 for f(x) = (1+x)^.5

b. Use the results found in part (a) to find the first four nonzero terms in the Taylor series expansion about x= 0 for g(x) = (1 + x^3)^.5

c. Find the first four nonzero terms in the Taylor series expansion about x = 0 for the function h such that h'(x) = (1 + x^3)^.5 and h(0) = 4

## The Attempt at a Solution

a. Pn(x) = 1 + 1/2x - x^2/(8) + x^3/(16)

b. stuck...