#### To determine

**To Evaluate:** the limit limx→0f(x)ex−1

#### Answer

The value of the following limit is given by limx→0xex−1=1

#### Explanation

The given limit limx→0f(x)ex−1 is indeterminate form

**i.e., ** limx→0f(x)ex−1 (00 Form)

So it is necessary to use l’Hospital’s Rule to evaluate the limit.

Applying l’Hospital’s Rule

limx→0xex−1=limx→01ex=11=1

**Conclusion:** limx→0xex−1=1