Simplify. lim_(xrightarrow 1)(sqrt(x-1))/(x^2 +x) and +lim_(xrightarrow 1)(sqrt(x-1))/(x^2 +x)

comAttitRize8 2022-07-27 Answered
Simplify.
lim x 1 x 1 x 2 + x and lim x 1 + x 1 x 2 + x
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Answers (2)

esbalatzaj
Answered 2022-07-28 Author has 15 answers
in order for to exist then both and lim x 1 x 1 x 2 + x must exist. Since x 1 x 2 + x is undefined for x < 1 then doesnot exist. however does exist since it is a one sided limit, the limit is zero.
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Almintas2l
Answered 2022-07-29 Author has 6 answers
lim x 1  x 1 x 2 + x = 1 1 1 + 1 = 0
lim x 1 x 1 x 2 + x = lim x 1 + x 1 x 2 + x = 0 = lim x 1 x 1 x 2 + x
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