Calculating Limit of Function – An exponential function divided by a polynomial – Exercise 5977

Exercise

Evaluate the following limit:

limx0e2x13x\lim _ { x \rightarrow 0} \frac{e^{2x}-1}{3x}

Final Answer


limx0e2x13x=23\lim _ { x \rightarrow 0} \frac{e^{2x}-1}{3x}=\frac{2}{3}

Solution

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