How do you find the Limit of #(x(cosx-1))/(sinx-x)# as #x# approaches #0#?
1 Answer
Mar 31, 2018
Explanation:
The problem is to evaluate
Currently, the limit takes the form of
Therefore, we can apply L'Hôpital's Rule.
Taking the derivative of both the numerator and denominator:
... which is still
Let's try L'Hôpital again:
... which is still
Using L'Hôpital one more time:
Now, evaluating this limit gives