### Home > CALC > Chapter 7 > Lesson 7.4.2 > Problem 7-190

7-190.

Use l'Hopital's Rule.

This is a limit → ∞.

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 to *f* '(2) when *f*(*x*) = *e ^{x}*.

This is a limit → ∞. Be careful. Which is more powerful: an exponential function or a polynomial function?