## anonymous 4 years ago Can anyone figure out the solution? Find the limit.

1. anonymous

2. Zarkon

write as one log ...then take limit

3. anonymous

what zarkon said $\lim_{x\rightarrow \infty}\ln(\frac{x+10}{x+5})$

4. anonymous

5. Zarkon

no

6. anonymous

the 2 infinities cancel?

7. Zarkon

$\lim_{x\rightarrow \infty}\frac{x+10}{x+5}=1$

8. Zarkon

now take the log

9. campbell_st

$\ln[(10 +x)/(5+x)]$ then look at the limit $\lim_{x \rightarrow \infty}\ln[(10+x)/(5+x)]$ divide through by x, $\lim_{x \rightarrow \infty}\ln [(10/x + 1)/(5/x+1)]$ so that as x ==> infinity the fractions disappear leaving $\lim_{x \rightarrow \infty} \ln(1/1)$ ln(1) = 0

10. anonymous

I see, thanks so much guys!