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

comAttitRize8

comAttitRize8

Answered question

2022-07-27

Simplify.
lim x 1 x 1 x 2 + x and lim x 1 + x 1 x 2 + x

Answer & Explanation

esbalatzaj

esbalatzaj

Beginner2022-07-28Added 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.
Almintas2l

Almintas2l

Beginner2022-07-29Added 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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