How do you find $lim tantheta$ as $theta->(pi/2)^+$ ?

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Answer 1 · 2017-06-08T12:23:49

$tan theta = sintheta/costheta$

As $theta rarr (pi/2)^+$ ,

$sinthetararr1$ and

$cos theta rarr 0^-$ . ( $cos theta$ is negative in the second quadrant.)

Therefore, $theta rarr (pi/2)^+$ ,

$tan theta rarr -oo$

How do you find lim tanthetalim tantheta as theta->(pi/2)^+theta->(pi/2)^+?