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प्रश्न
Find the points of discontinuity, if any, of the following functions:
उत्तर
When x
We know that a polynomial function is everywhere continuous.
So,
At x = 1, we have
(LHL at x = 1) =
\[\lim_{x \to 1^-} f\left( x \right) = \lim_{h \to 0} f\left( 1 - h \right) = \lim_{h \to 0} \left( \left( 1 - h \right)^3 - \left( 1 - h \right)^2 + 2\left( 1 - h \right) - 2 \right) = 1 - 1 + 2 - 2 = 0\]
(RHL at x = 1) =
Also,
Thus,
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