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## Homework Statement

Find the limit and any horizontal asymptotes:

lim 4/(e

^{-x})

x→∞

## Homework Equations

Principle 1: A limit defines a horizontal asymptote whenever x→∞ or x→-∞.

Principle 2: If a limit goes to ∞ or -∞, there won't be a horizontal asymptote.

## The Attempt at a Solution

lim 4/(e

^{-x}) = ∞

x→∞

since as

*x*gets bigger, e

^{x}also gets bigger.

Horizontal Asymptote = 0

Given the above answer, if correct, then I have a problem with the two above principles I learned. Should I email my professor about these two principles? I am trying to learn these first before I do the actual homework.

Thanks!

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