Question: Prove that lim =e for a 0. x-xo OE. Write the limit in the form 10 L'Hpital's Rule can be used to evaluate the

Prove that lim =e for a 0. x-xo OE. Write the limit in the form 10 L'Hpital's Rule can be used to evaluate the limit, but it must be put in the form In (1+a/x) A. L= lim x In =lim 1/x 00 x- In (1+a/x) B. L= lim xin X8 Oc. L= lim xin =lim x X-00 x 00+x =lim x-x In (1+a/x) x L = lim xin + lim 1/In (1+/ax) x81 x-x 0 " or 88 How should the limit be rewritten? Apply l'Hpital's Rule by finding the derivative of the numerator and the denominator separately. In (1+a/x) lim

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