Limits at Infinity...1

Discussion in 'Calculus' started by nycmathguy, May 28, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.6

    IMG_20220527_193057.jpg
     
    nycmathguy, May 28, 2022
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  2. nycmathguy

    MathLover1

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    question was: as x->∞

    answer:
    upload_2022-5-27_20-18-17.gif .....∞^3=∞

    as x->-∞, answer is (-∞)^3=-∞
     
    MathLover1, May 28, 2022
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  3. nycmathguy

    nycmathguy

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    Hi Mira.

    The question is two-fold. Are you saying to simply replace x (whatever the variable happens to be) with either -infinity or infinity? Can you this be done considering that infinity is not a number?
     
    nycmathguy, May 28, 2022
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  4. nycmathguy

    MathLover1

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    Apply Infinity Property:
    lim ( ax^n+.....+bx+c ) as x->∞ =∞ , a>0, n is odd
    in your case a=1, n =3
     
    MathLover1, May 28, 2022
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  5. nycmathguy

    nycmathguy

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    I didn't know about that property.
     
    nycmathguy, May 28, 2022
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