Limits help

**lolalovepink** · September 9th 2009, 06:42 PM

Find the limits of:

1. lim (cosx + tanx)
x-->pi/6

2. lim 1
x->1 (x-1)^2

any help?!

**CaptainBlack** · September 9th 2009, 08:50 PM

Originally Posted by lolalovepink

Find the limits of:

1. lim (cosx + tanx)
x-->pi/6

You should know that for a function $f(x)$ continuous at $x_0$ the limit as $x$ approaches $x_0$ is $f(x_0)$ .

This is applicable to this problem with $f(x)=\cos(x)+\tan(x)$

**CaptainBlack** · September 9th 2009, 08:51 PM

Originally Posted by lolalovepink

Find the limits of:

1. lim (cosx + tanx)
x-->pi/6

2. lim 1
x->1 (x-1)^2

any help?!

As $(x-1) \to 0$ as $x \to 1$ what do you think happens to $\frac{1}{(x-1)^2}$ as $x \to 1$ ?

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