# `lim_(x->oo) ln(x)/sqrt(x)` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply,...

`lim_(x->oo) ln(x)/sqrt(x)` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

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Student Comments

scisser | Student

Use LH's rule

`lim_(x-gtoo)((1/x)/(1/(2sqrtx)))`

Simplify,

`lim_(x-gtoo)(2/sqrtx)`

square root of infinity is still infinity. 2 divided by a really big number (like infinity) is just 0.

`=0`