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anonymous

  • 5 years ago

Evaluate the following limits: lim x-> 0 (x-1)/ (3sin(x)- cos (x))

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  1. anonymous
    • 5 years ago
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    in this case you can just plug x=0 into the function

  2. anonymous
    • 5 years ago
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    the limit is -1/-1=1

  3. anonymous
    • 5 years ago
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    so you should always substitute to see if its indeterminate form first? ok...thanks so much lol

  4. anonymous
    • 5 years ago
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    if it's indeterminate we need to use some other tools to evaluate the limit.

  5. anonymous
    • 5 years ago
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    the reason we were able to plug in here is the function in the numerator and denominator are continuous, and we are not dividing by 0

  6. anonymous
    • 5 years ago
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    can you explain how you know its continuous by just looking at it or did you figure it out some other way

  7. anonymous
    • 5 years ago
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    can you explain how you know its continuous by just looking at it or did you figure it out some other way

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