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.
Concept: Concept of Continuity
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