# Math Help - Limit using L'Hopital's Rule

1. ## Limit using L'Hopital's Rule

Evaluate the following limit.

limit: x approaches infinity. (x + 1)/(e^x)

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Using L'Hopital's rule would give me 1/e^x... I'm blanking out with limits.. Can someone explain this to me? Thanks.

2. Originally Posted by Savior_Self
Evaluate the following limit.

limit: x approaches infinity. (x + 1)/(e^x)

---
Using L'Hopital's rule would give me 1/e^x... I'm blanking out with limits.. Can someone explain this to me? Thanks.
Looks good to me! Now, what happens to 1/e^x as x goes to infinity? The numerator stays 1 while the denominator gets larger and larger.

3. approaches zero, yes?

4. Originally Posted by Savior_Self
approaches zero, yes?

Yes.