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Question-159332




Question Number 159332 by 0731619 last updated on 15/Nov/21
Commented by bobhans last updated on 16/Nov/21
(1)lim_(x→1^− )  (√(x−1)) = undefined         lim_(x→1^+ )  (√(x−1)) = 0  (2) lim_(x→1^− )  (√(1−x)) = 0       lim_(x→1^+ )  (√(1−x)) = undefined
$$\left(\mathrm{1}\right)\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{1}^{−} } \:\sqrt{\mathrm{x}−\mathrm{1}}\:=\:\mathrm{undefined}\: \\ $$$$\:\:\:\:\:\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{1}^{+} } \:\sqrt{\mathrm{x}−\mathrm{1}}\:=\:\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{1}^{−} } \:\sqrt{\mathrm{1}−\mathrm{x}}\:=\:\mathrm{0} \\ $$$$\:\:\:\:\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{1}^{+} } \:\sqrt{\mathrm{1}−\mathrm{x}}\:=\:\mathrm{undefined} \\ $$

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