# Math Help - LiMiTs

1. ## LiMiTs

$\lim_{x\rightarrow 0}\frac{sin^2x-x^2cosx}{x^3tanx}$

$\lim_{x\rightarrow \infty}\frac{2^{x+1}+3^{x+1}}{2^x+3^x}$

In the second one how can i change the $x\rightarrow \infty$

2. ## Re: LiMiTs

Originally Posted by srirahulan
$\lim_{x\rightarrow \infty}\frac{2^{x+1}+3^{x+1}}{2^x+3^x}$
In the second one how can i change the $x\rightarrow \infty$

The answer is that you should not.

It is just $\frac{6\left(\frac{2}{3}\right)^x+3}\frac{\left( \frac{2}{ 3}\right)^x+1}$

3. ## Re: LiMiTs

What do you mean i can't understand?

4. ## Re: LiMiTs

Originally Posted by srirahulan
What do you mean i can't understand?
What do you mean?

That is just basic algebra. Divide by $3^x$.

There is no reason to try limits if one can't do algebra.

5. ## Re: LiMiTs

Thank you.........