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

Exercise

Evaluate the following limit:

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

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