Practice: a nice limit.

Calculus Level 2

Find the value of the following limit: lim ⁡ x → 0 x ln ⁡ 2 ∣ x ∣ sin ⁡ ∣ x ∣ . \lim\limits_{x\to0}\dfrac{x\ln^2|x|}{\sin|x|}.

∞ \infty The limit doesn't exist. 0 0 − ∞ -\infty

حكيم الفيلسوف الضائع by حكيم الفيلسوف الضائع , 35, Morocco

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2 solutions

Joe Mansley
Jul 25, 2015

I'm not sure if I've got this right.

ln(x) is only defined when x>0, so we cannot approach from the negative direction, so the limit does not exist.

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Gmasha Hussain
Jun 2, 2014

Because 0/0 is an indeterminate form.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

That's not the reason. You cannot apply substitution at the beginning.

Describe in a better manure.

Thanks. :)

[Don't think I am showing off. I am asking for assistance here!]

Sheikh Asif Imran Shouborno - 7 years ago

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