lHopitals lim_(x->oo) ( ln x)^(3 x)? Okay, so what do I do with that power? I need to rewrite the term as fractions. How? If it was the inner function that's in the power of something: ln x^(1/(3 x)) then I'd just simply rewritten it as 1/(3x) * ln x = (ln x)/(3x)

garnirativ8

garnirativ8

Answered question

2022-10-03

lHopitals lim x ( ln x ) 3 x ?
Okay, so what do I do with that power? I need to rewrite the term as fractions. How?
If it was the inner function that's in the power of something: ln x 1 3 x then I'd just simply rewritten it as 1 3 x ln x = ln x 3 x

Answer & Explanation

beshrewd6g

beshrewd6g

Beginner2022-10-04Added 12 answers

Why do you hant to use l'hopital ?
( ln x ) 3 x = e 3 x ln ( ln ( x ) )
and since 3 x ln ( ln ( x ) ) x ,
lim x ( ln x ) 3 x = .
ter3k4w8x

ter3k4w8x

Beginner2022-10-05Added 4 answers

That isn't a indeterminate form. ln x as x . So does 3 x.
=
The power law for limits comes into play and we get our limit.

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