how to solve this limit \lim_{\theta\to 0}\frac{\tan(5\theta)}{\tan(10\theta)}

Slade Higgins 2022-04-29 Answered
how to solve this limit limθ0tan(5θ)tan(10θ)
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Answers (2)

Frederick Greer
Answered 2022-04-30 Author has 17 answers
limθ0tan5θtan10θ=limθ0(sin5θ5θ10θsin10θ5θ10θcos10θcos5θ)=12
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haarplukxjf
Answered 2022-05-01 Author has 16 answers
Call x=5θ and note that
limθ0tan5θtan10θ=limx0tanxtan2x=limx0tanx2tanx1tan2x
=12limx0(1tan2x)=
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