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Use the definition of the derivative to evaluate each limit.

a. $\lim _{h \rightarrow 0} \frac{e^{h}-1}{h}$

b. $\lim _{h \rightarrow 0} \frac{e^{2+h}-e^{2}}{h}$

a. 1

b. $e^{2}$

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{'transcript': 'this question. We have to get lemon for EJ approaches to zero for Igor edge minus one plus edge over EJ square. We can start by taking the revenue, so we will have the poor EJ minus one over to EJ. And we can also take a lot of gravity. So you get you poor wretch overs to if we substitute edge by zero. So we will have e poor zero, which is one or was too, which is our final solution. Thank you.'}