Question #9c35b

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Question #9c35b

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Answer 1 · 2017-09-16T11:40:30

$lim x rarr ootan^-1 (x)pi/2=pi^2/4$

Explanation:

$lim x rarr ootan^-1 (x)pi/2$
We know that as $x rarr pi/2, tanx rarr oo$
Hence when $x rarr oo, tan^-1x$ must approach $pi/2$
$:.lim x rarr ootan^-1 (x)pi/2=pi/2×pi/2=pi^2/4$

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