# Use Theorem 3.3 to find an error bound for the approximations in Exercise 1. In Exercise 1 For the given

## Question:

In Exercise 1

For the given functions f (x), let x0 = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f (0.45), and find the absolute error.

a. f (x) = cos x

b. f (x) = √1 + x

c. f (x) = ln(x + 1)

d. f (x) = tan x

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