(1) Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that Rn(x) → 0). f(x)=√√x, a = 4 *Note: it may be difficult to find a closed formula for the terms of Taylor series, so writing out four or five terms and a good faith effort to find this formula is sufficient. (2) Use a known Maclaurin series to obtain the Maclaurin series for f(x) = sin²x. (Hint: Use sin²x = = (1 - cos(2x)))

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