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

7-190.
  1. 7-190. No calculator iconNo Calculator! Evaluate the following limits. Homework Help ✎

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) = ex.

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