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Question Number 72837 by Rio Michael last updated on 03/Nov/19

find     lim_(x→0)  x + [x]

$${find}\: \\ $$$$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\:+\:\left[{x}\right] \\ $$

Commented by mathmax by abdo last updated on 03/Nov/19

lim_(x→0^+ )   x+[x] =0  and lim_(x→0^− )  x+[x] =−1

$${lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:{x}+\left[{x}\right]\:=\mathrm{0}\:\:{and}\:{lim}_{{x}\rightarrow\mathrm{0}^{−} } \:{x}+\left[{x}\right]\:=−\mathrm{1} \\ $$

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