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Find All Points of Discontinuity Of F, Where F Is Defined by F(X) = {(X/|X|, If X < 0),(-1, If X >= 0 - Mathematics

Find all points of discontinuity of f, where f is defined by

`f(x) = {(x/|x|, ","if x < 0),(-1, ","if x >= 0):}`

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Solution

The given function f is `f(x) = {(x/|x|, ","if x < 0),(-1, ","if x >= 0):}`

It is known that, `x < 0 => |x| = -x`

Therefore, the given function can be rewritten as

Therefore, the given function is a continuous function.

Hence, the given function has no point of discontinuity.

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APPEARS IN

NCERT Class 12 Maths
Chapter 5 Continuity and Differentiability
Q 9 | Page 159
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