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anonymous

  • 5 years ago

Find the limit if it exists: lim x->infinity [1+(1/2x)]^3x

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  1. anonymous
    • 5 years ago
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    as x goes towards infinity the 1/2x part of the term becomes insignificant since it is practically 0

  2. anonymous
    • 5 years ago
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    that means the term can be reduced to 1^3x

  3. anonymous
    • 5 years ago
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    do you have to find the second derivative? Possibly using the l'hospital's rule?

  4. anonymous
    • 5 years ago
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    you now have an exponential term, so as x reaches infinity, the number approaches infinity. so the limit is infinity (or does not exist)

  5. anonymous
    • 5 years ago
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    it'll be like 1^3*1, then 1^3*1000....the number just goes on forever with no limit

  6. anonymous
    • 5 years ago
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    i see. thanks

  7. anonymous
    • 5 years ago
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    no problem

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