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anonymous

  • 4 years ago

Can anyone figure out the solution? Find the limit.

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  1. anonymous
    • 4 years ago
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  2. Zarkon
    • 4 years ago
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    write as one log ...then take limit

  3. anonymous
    • 4 years ago
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    what zarkon said \[\lim_{x\rightarrow \infty}\ln(\frac{x+10}{x+5})\]

  4. anonymous
    • 4 years ago
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    so the answer is 10/5?

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  5. Zarkon
    • 4 years ago
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    no

  6. anonymous
    • 4 years ago
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    the 2 infinities cancel?

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  7. Zarkon
    • 4 years ago
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    \[\lim_{x\rightarrow \infty}\frac{x+10}{x+5}=1\]

  8. Zarkon
    • 4 years ago
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    now take the log

  9. campbell_st
    • 4 years ago
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    \[\ln[(10 +x)/(5+x)]\] 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
    • 4 years ago
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    I see, thanks so much guys!

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