# Math Help - limits

1. ## limits

Find all the values of the constant k, such that the limit shown below exists

lim (3^kx)+6
(x->infinity) (3^2x) +4

2. ## Re: limits

Originally Posted by tarakelly
Find all the values of the constant k, such that the limit shown below exists

lim (3^kx)+6
(x->infinity) (3^2x) +4
Let's be clear.
The problem should read ${\lim _{x \to \infty } \frac{{3^{kx} + 6}}{{3^{2x} + 4}}}~?$

3. ## Re: limits

Originally Posted by sbhatnagar
To solve $\lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{kx}+4}$ ,use L Hopital's rule.
BUT it is not $\lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{kx}+4}$

It is $\lim_{x\rightarrow\infty }\frac{3^{kx}+6}{3^{2x}+4}$