### Home > APCALC > Chapter 7 > Lesson 7.4.2 > Problem 7-197

7-197.

No calculator! Evaluate the following limits.

Use l'Hôpital's Rule.

This is a

.

Compare the powers on the top and bottom only.

Do not neglect their coefficients.

So this limit must be approaching

or .

Which one?

This is Hana's Definition of the Derivative.

The limit is equal towhen .

This is a

. Be careful. Which is more powerful: an exponential function or a polynomial function?