1. ## Limits

Can someone help me figure out the limits of these?

Limit of sin(abs(x))/x as x approaches 0

limit of (x-1)/((sqrt(x))-1) as x approaches 1

limit of ((2/x)-(2/abs(x))) as x approaches 0

2. $\lim_{x\to 1}\frac{x-1}{\sqrt{x}-1}$
Divide first and it boils down to $\sqrt{x}+1$

3. Originally Posted by straman
Can someone help me figure out the limits of these?

Limit of sin(abs(x))/x as x approaches 0

limit of ((2/x)-(2/abs(x))) as x approaches 0
Both cases are meant to analyze the left and right hand limits.