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  4. The points of discontinuity of tan x are

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Q. The points of discontinuity of $\tan\, x$ are

ManipalManipal 2008

Solution:

Let $ f(x)=\tan x$
The point of discontinuity of $ f(x) $ are those points where tan x is infinite.
$ie , \tan x=\tan \infty $
$\Rightarrow $ $ x=(2n+1)\frac{\pi }{2},\,n\in I $