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provide solution for RD Sharma maths class 12 chapter 8 Continuity exercise  Fill in the blanks question 18

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Answer: (2 n+1) \frac{\pi}{2}, n \in I

Hint: f(x) is discontinuous when f\rightarrow \infty

Given: f(x)=\tan x


                f(x)=\tan x

                The points of discontinuity of f(x) are there at which \tan x is infinite

                \begin{aligned} &\tan x \rightarrow \infty \\ &\tan x=\tan \frac{\pi}{2} \end{aligned} \; \; \; \; \; \; \; \; \; \; \; \; \; \left[\begin{array}{l} \because \tan x=\tan y \\ x=(2 n+1) y \end{array}\right]

                x=(2 n+1) \frac{\pi}{2}, n \in I


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