# Module 3: Additional Integration Techniques and Limits

In this module, you will learn additional integration techniques and limits. The module content is split into four lessons.

### Lessons

Trying to evaluate $\inline \lim _{k\rightarrow \infty }\frac{e^{k}}{k^{!}}$ raises a problem: we definitely have the indeterminate form $\inline \frac{\infty }{\infty }$ but we can’t use L’Hospital’s Rule since the denominator’s factorial is not a differentiable function.
3. Use Stirling’s Formula to evaluate $\inline \lim _{k\rightarrow \infty }\frac{e^{k}}{k^{!}}$.