Question: (a) Find (b) Use your answer to part (a) to derive the approximation cos x 1 -1/2x for x near 0. (c) Use your

(a) Find

1 lim x0 COS X x

(b) Use your answer to part (a) to derive the approximation cos x ≈ 1 -1/2x² for x near 0.

(c) Use your answer to part (b) to approximate cos(0.1).

(d) Use a calculator to approximate cos(0.1) to four decimal
places. Compare the result with part (c).

1 lim x0 COS X x

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