lim_{x rightarrow infty} x^{frac{1}{ln x}}Select one:a 1b 0c ∞d e

Chardonnay Felix

Chardonnay Felix

Answered question

2020-12-25

limxx1lnxSelect one:
a 1
b 0
c ∞
d e

 

Answer & Explanation

Velsenw

Velsenw

Skilled2020-12-26Added 91 answers

Let LL be the limit. Then

:L,=limxx1/,lnxlnL,=limxlnx1/,lnx,,Take the natural log of both sides.lnL,=limx(1lnx)lnx,,Use the rule lnxa=alnx.lnL,=limx1,,Simplify.lnL,=1,,Evaluate the limit.elnL,=e1,,Raise both sides as a power of e.L,=e,,Use the rule elnx=x.

The correct answer is then d. e d. e ​ . ​ ​

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