Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The number of points at which the function f(x) =
is discontinuous is
Text Solution
Verified by ExpertsThe correct answer is:
C
The function
is not defined at x = 0, so, x = 0 is a point of discontinuity. Also, for f(x) to be defined,
≠ ≠ 0 that is x ≠ ≠ ± ± 1.
Hence, 1 and –1 are also points of discontinuity.
Clearly f(x) is continuous for x ∈ ∈ R – {0, 1, –1}.
Thus, there are three points of discontinuity
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