Taylor Polynomial Approximations and ErrorDan Jones2023-12-26T21:04:02-06:00

Taylor Series Polynomials and Error

1. a) Find the P4 Taylor series for f(x) centered at x = 0 if f(x) = sqrt(x+1)

b) Find approximation at x = ½ and compute the error. Then find the error bounds for the approximation.

c) Find approximation at x = -½ and compute the error.

2. a) Find the P4 Taylor series for g(x) centered at x = 1 if g(x) = ln(x)

b) Find approximation at x = 0.5 and compute the error.

c) Find approximation at x = 1.5 and compute the error.

d) Find approximation at x = 2 and compute the error.