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Question
Show that
is discontinuous at x = 0.
Solution
The given function can be rewritten as:
(LHL at x = 0) = \[\lim_{x \to 0^-} f\left( x \right) = \lim_{h \to 0} f\left( 0 - h \right) = \lim_{h \to 0} f\left( - h \right)\]
Thus, f(x) is discontinuous at x = 0.
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