Completely lost, all help appreciated

1) Bound the error in the approximation

sin(x) ≈ x

for -pi/4 ≤ x ≤ pi/4

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Let p(x) be the Taylor polynomial of degree n of the function

f(x) = log(1-x) about a = 0.

How large should n be to have

| f(x)-p(x) | ≤ 10^(-4) for -1/2 ≤ x ≤ 1/2 ?

For -1 ≤ x ≤ 1/2