Q. 404.0( 2 Votes )

Prove that <span

Answer :

Given:


f(0) = 2


we have to prove that f(x) is discontinuous at x = 0


If f(x) to be discontinuous at x = 0,then


LHL = f(0) =




|–x| = |x| = x





2 ...(1)


RHL = f(0) + =






0 ...(2)


From (1) & (2),we know that,


f(0) f(0) +


Hence, f(x) is discontinuous at x = 0


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