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First Fundamental Theorem of Calculus

Solve:- limx...

Question

Solve:-
$lim x \to 0 | x | = ?$

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Solution

LHL $= {lim}_{x \to 0^{-}} | x | = {lim}_{h \to 0^{-}} (- x) = 0$
RHL $= {lim}_{x \to 0^{+}} | x | = {lim}_{h \to 0^{+}} x = 0$
Hence the limit exists and ${lim}_{x \to 0} | x | = 0$

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