Consider the tollowing Maclaurin series: (-1)"x²n (2n)! CoS X = for all x E R. 1. Let f(x) = cos(Vx). Determine the power series representation for f. sin(vx) 2. Use (1) to determine the power series representation for g(x) 3. Approximate| cos(Vx) dx by using the first 3 terms of its series representation.

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