Question

Find the limit of it exists lim x-> (x^3)ln(x)

Answer 1

As x goes to what?

Answer 2

a) 0
b)1
c) 2
d) 3
e) -INF

Answer 3

x->0+ sorry

Answer 4

yes, but you can break the problem up into 2 separate limits.
\[\lim_{x \rightarrow 0+}x^3 * \lim_{x \rightarrow 0+}\ln(x)=0*-\infty\], so no matter the limit of ln(x), x^3lnx approaches 0 as x->0+

Answer 5

it never reaches zero as we get infinitely closer to x=0 from the right (although x^3lnx=0 when x=1, but irrelevant), but the limit is still 0 from the right.

Answer 6

Wasn't thinking, yes you are correct.