# How do I evaluate this limit

1. May 28, 2012

### Lizwi

How do I evaluate this limit I have no Idea, I'm sorry for not showing my work please!

limx$\rightarrow$0 $\frac{1}{sin2x}$ +$\frac{1}{x2}$

2. May 28, 2012

### algebrat

Re: Limits

Doesn't it go to infinity?

3. May 28, 2012

### Infinitum

Re: Limits

What happens when you have....

$lim_{x\to 0^+} \frac {1}{x}$

That is a basic limit, answering that should lead you to what you want.

4. May 28, 2012

### Bohrok

Re: Limits

When using itex, you wouldn't use the other tags that the board uses such as for superscripts; you would use ^ to make exponents.

Could you have meant this limit with subtraction instead?
$\lim_{x\to 0}\frac{1}{\sin^2x} - \frac{1}{x^2}$

Last edited: May 28, 2012
5. May 28, 2012

Re: Limits

DonAntonio

6. Jun 2, 2012

### ME_student

Re: Limits

I have not taken calc yet, but would he need to find a common denominator?

7. Jun 2, 2012

### DonAntonio

Re: Limits

Kudos for the courage to post without having yet studied calculus..:) In this case it isn't needed to find

common denominator as: (1) both parts of the expression are positive, (2) it's a sum and (3) both tend to $\infty$ as $x\to 0$

DonAntonio