f(x) = VI with a = 16; approximate V13.

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A: The general Taylor series for ex at x = 0 is as follows.

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A: fx=x3,   a=64 Now, f'x=13x13-1=13x-23f''x=13·-23x-23-1=-29x-53f'''x=-29·-53x-53-1=1027x-83 Now,…