Compute lim as x approaches 0

1. The problem statement, all variables and given/known data

2. Relevant equations

Compute the lim

3. The attempt at a solution
I tried using l'Hopital's rule but I have to keep finding the derivative and it doesnt yield an answer. I have to use taylor series for the trig functions, but don't know how this will work


Science Advisor
Homework Helper
Go ahead, try it. Expand cos(2x) and sin(x) in a taylor series. See which terms cancel. If you don't know the expansion of cos and sin, they are easy to look up.

a good rule of thumb is to turn sin and cosine and even e into their taylor series whenever doing limit problems. then subtract whatever you can. and factor out as many x terms as you need to make the top and bottom non zero. and then calculate the limit.

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