Question

Can anyone figure out the solution?

Find the limit.

Answer 1

write as one log ...then take limit

Answer 2

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

Answer 3

so the answer is 10/5?

Answer 4

no

Answer 5

the 2 infinities cancel?

Answer 6

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

Answer 7

now take the log

Answer 8

\[\ln[(10 +x)/(5+x)]\]

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

Answer 9

I see, thanks so much guys!