Limits | L'Hospital's Rule: Examples 2 & 3

The video tutorial covers L'Hôpital's Rule with two examples. The first example involves evaluating a limit as x approaches infinity, requiring the application of derivatives twice to resolve an indeterminate form. The second example introduces a variable change and demonstrates handling an indeterminate form of infinity times zero by transforming it into a 0/0 form, allowing the use of L'Hôpital's Rule. The tutorial concludes with a preview of more complex examples in the next video.

Describe the process of simplifying the limit expression when you have 16e^(4X) / e^X.

What happens to the limit as X approaches Infinity for the expression 2/e^X?

What does it mean when we say a limit diverges, and how does this apply to the limit we calculated?