Among which of these points is $f (x) = tan x$ discontinuous?

$\frac{- π}{4}$

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$\frac{π}{4}$

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$\frac{π}{2}$

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Solution

The correct option is D
$\frac{π}{2}$

Lets draw the graph first

$tan x$ tends to infinity at $x = 90^{o}$ . It is a case where the limit of the function doesn't exist at the point since the function tends to infinity at these points.

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