(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the limit of:

[itex]\frac{lim}{x\rightarrow0} ln(x)sin(x)[/itex]

tip:

you know that

[itex] \frac{sin(x)}{x} \rightarrow 1[/itex]

so rearrange to use

2. Relevant equations

L'hopitals rule?

3. The attempt at a solution

i rearranged to get this

[itex]\frac{lim}{x\rightarrow0} \frac{\frac{ln(x)sin(x)}{x}}{\frac{1}{x}}[/itex]

i know that [itex]\frac{sin(x)}{x} \rightarrow 1[/itex]

and [itex]\frac{1}{x} \rightarrow \infty[/itex]

does [itex]ln(x) \rightarrow -\infty[/itex] ?

I might need to use L'hopitals rule after this but i dont think it will make anything any easier.

Am i missing something major here, does the fact that sin(0)=0 mean that the limit is 0? because if it is, the question is fairly misleading.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding the limit of x tending to 0 of ln(x)sin(x)

**Physics Forums | Science Articles, Homework Help, Discussion**