SOLUTION: Use lim(x goes to 0) sinx/x = 1 to evaluate lim(x goes to 0) 1-cosx/x^2. I know the answer should be 1/2 but am not sure how to get that answer. Thanks!

Algebra ->  Test -> SOLUTION: Use lim(x goes to 0) sinx/x = 1 to evaluate lim(x goes to 0) 1-cosx/x^2. I know the answer should be 1/2 but am not sure how to get that answer. Thanks!       Log On


   



Question 770584: Use lim(x goes to 0) sinx/x = 1 to evaluate lim(x goes to 0) 1-cosx/x^2. I know the answer should be 1/2 but am not sure how to get that answer. Thanks!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Are you allowed to use l'Hôpital's Rule?

If so, take the derivatives of the numerator and denominator: and .

Then take the limit

John

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