Struggling with a Limit Calculation: Can You Help?

[hugo.hribeiro]

I was reviewing my concepts of limits and didnt manage to solve this one. Probably is simple but I am not managing to get it.

Limit (2^x * (x + 1)) / (1 - 3^x)
+oo

i can see the answer is 0 but can't manage to get it...

Thx in advance,

 

[quasar987]

Recall that $a^x=e^{\ln(a)x}$.

 

[hugo.hribeiro]

yea, i remember that one...but still no luck in refactoring to a possible 0 result.

 

[Russell Berty]

Divide top and bottom by 2^x.

 

[hugo.hribeiro]

Got it... divide by 2^x and then divid again by x.

Thx people ;)