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## Homework Statement

In the textbook I am studying one of the exercises is: lim x→0 e

^{-x}- 1 / x = ? The answer given is -1. But I can't see why this answer should follow.

## Homework Equations

The most relevant equation here is: lim x→0 = e

^{x}- 1 / x = 1

## The Attempt at a Solution

So let's take: lim x→0 e

^{-x}- 1 / x = ? So x approximates 0, so you get e

^{-x}approximates e

^{-0}which in my view is just e

^{0}= 1. Therefore I don't see how this differs from lim x→0 = e

^{x}- 1 / x = 1. In my view the answer should be 1 and not -1... I'm clearly missing something, but I don't have a clue what... Can you please help me?