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**[SOLVED] One-Sided Limits**

**1. Homework Statement**

I've been having problems solving for these one-sided limits.

1.[tex]\stackrel{lim}{x\rightarrow\pi^-}\frac{sinx}{1-cosx}[/tex]

2.[tex]\stackrel{lim}{x\rightarrow\O^+}xln(x)[/tex]

3.[tex]\stackrel{lim}{x\rightarrow\frac{\pi}{2}^-}(sec (x)-tan(x))[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

I solved #1 as =0/1 =0

I solved #2 as [tex]\stackrel{lim}{x\rightarrow\O^+}\frac{ln(x)}{\frac{1}{x}}[/tex]

=[tex]\frac{\frac{1}{x}}{1}[/tex] = [tex]\frac{\frac{1}{0}}{1}[/tex]

=0

I solved #3 as [tex]\stackrel{lim}{x\rightarrow\frac{\pi}{2}^-}(sec (x)-tan(x))[/tex]

=[tex]\stackrel{lim}{x\rightarrow\frac{\pi}{2}^-}(\frac{1}{cosx}-\frac{sinx}{cosx})[/tex]

=[tex]\stackrel{lim}{x\rightarrow\frac{\pi}{2}^-}(\frac{1-sinx}{cosx})[/tex] and I solved this down to =[tex]\stackrel{lim}{x\rightarrow\frac{\pi}{2}^-}tan(x)[/tex]

= undefined

I'm missing some steps in these problems. Any help from you is greatly appreciated!