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n Consider the exponential function f(x) = e, with e as defined in Q1: e = lim 1 n-+00 n In this question you will

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n Consider the exponential function f(x) = e, with e as defined in Q1: e = lim 1 n-+00 n In this question you will rigorously calculate f'(x). (a) Using the definition of the derivative, show that f'(x) = et lim ho h (b) Using the sequences {en} and {fn} of Q1, show that for all n > 1, ( 1+ 4 ) "

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