Evaluate the following limits. lim_{thetarightarrow0}frac{cos^2theta-1}{theta}

allhvasstH 2020-11-14 Answered
Evaluate the following limits.
limθ0cos2θ1θ
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Expert Answer

Raheem Donnelly
Answered 2020-11-15 Author has 75 answers
Given that limθ0cos2θ1θ
Compute the limit as follows.
limθ0cos2θ1θ=limθ0(1cos2θ)θ
=limθ0sin2θθ
=limθ0sinθθ×limθ0(sinθ)
=1×(0)
=0
Thus, limθ0cos2θ1θ=0
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Jeffrey Jordon
Answered 2022-04-01 Author has 2047 answers

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