# Math Help - How to show limit?

1. ## How to show limit?

Could anybody help me with the following limit: ln(x^.25)/sin(x-1) as x goes to 0 from above. I am confused since ln of 0 is negative infinity. How do i do this?

Thanks for any help.

2. ## Re: How to show limit?

You are correct that as x approaches zero, the numerator will approach negative infinity. So the question relies on the denominator now. You need to see if the sign will change. Have you tried plotting it?

3. ## Re: How to show limit?

I plotted the equation and the denominator and the equation looks to go to infinity (how do i show this without graph) and the denominator varies between -1 and 1. could you pleasee explain what you mean by "You need to see if the sign will change".

Thanks for the reply

4. ## Re: How to show limit?

As x approaches zero, the denominator will approach a negative finite amount. If you have some numerator which approaches negative infinity then we have a negative over a negative giving a positive sign in the result. So it seems to me the answer is positive infinity.

5. ## Re: How to show limit?

ok that seems to make sense. Thank you grillage.