Question: 1. (a) Write down the Taylor series for cos x at x = 0. (b) Use part (a) to write down the Taylor series for

1.

(a) Write down the Taylor series for cos x at x = 0.

(b) Use part (a) to write down the Taylor series for cos(x^1/2) about x = 0.

(c) To what number does the series 1-2/2! +4/4!-8/6!+16/8!- ... converges ?

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