Find the limit. lim_{xrightarrow(pi/2)}frac{sec x}{tan x}

Globokim8 2021-01-27 Answered
Find the limit.
limx(π/2)secxtanx
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Expert Answer

SabadisO
Answered 2021-01-28 Author has 108 answers
We have to evaluate
limx(π/2)secxtanx
We can see that if we put given limit then we get form.
So, to remove this form, we will simplify the given expression and then we will put limit.
We know that secx=1cosx and tanx=sinxcosx
Therefore,
limx(π/2)secxtanx=limx(π/2)1cosxsinxcosx
limxπ/21sinx
=1sinπ2
=11
=1
Hence, required answer is 1 .
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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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