Calculating Limit of Function – An exponential function divided by x with parameters – Exercise 5993

Exercise

Evaluate the following limit:

limx0eaxebxx\lim _ { x \rightarrow 0} \frac{e^{ax}-e^{bx}}{x}

Final Answer


limx0eaxebxx=ab\lim _ { x \rightarrow 0} \frac{e^{ax}-e^{bx}}{x}=a-b

Solution

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