Question
Asked Dec 4, 2019
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Evaluate the limit
limx→0+
x (ln(x))^2

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Expert Answer

Step 1

To determine the value of the limit.

Step 2

Given:

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lim (x(in(x) x 0

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Step 3

Compute the limit of the function using ...

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(In(x)) lim(x(In(x)) lim 0 1 0 x Apply the L'Hopital's Rule as, 2 ln(x) d(in(x) х - lim x0+ lim d 1 10 dxx In (x) =-2. lim x0+ 1 00 Apply the L'Hopital's Rule as, 1 (n (x)) dc x -2- lim =-2. lim x0+ d 1 x+0+ dcx --2. lim (-x) x0+ =(-2) x (-0) = 0 8 18

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Tagged in

Math

Calculus

Limits