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## Homework Statement

lim (sin x - x)/x as x--> 0

## Homework Equations

## The Attempt at a Solution

I used L'hopitals rule 3 times and got -1/6, but there is actually an asymptote at x = 0 so the limit should approach infinity or -infinity (in this case -infinity)

Where did I go wrong? Is it because I used l'hopitals rule too many times or inappropriately?