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anonymous

  • 5 years ago

Can anyone explain to me how to solve the following limit problem? Lim x-->3, u^4-81/u^3-27. Any help would be appreciated!

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  1. Zarkon
    • 5 years ago
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    factor the numerator and the denominator

  2. myininaya
    • 5 years ago
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    you could also apply l'hospital here

  3. anonymous
    • 5 years ago
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    yes, I need to factor and substitution clearly wont work. Having trouble factoring.Hence the request for help :)

  4. myininaya
    • 5 years ago
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    do you know how to factor the difference of squares?

  5. myininaya
    • 5 years ago
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    \[a^4-b^4=(a^2)^2-(b^2)^2=(a^2-b^2)(a^2+b^2)=(a-b)(a+b)(a^2+b^2)\]

  6. myininaya
    • 5 years ago
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    \[a^3-b^3=(a-b)(a^2+ab+b^2)\]

  7. myininaya
    • 5 years ago
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    that should be helpful

  8. anonymous
    • 5 years ago
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    thank you I was doing (u^2 +9)(u^2-9). let me take another crack at it and see if I cant factor the denominator. Thanks

  9. myininaya
    • 5 years ago
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    yes and u^2-9 can be factor further

  10. myininaya
    • 5 years ago
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    factored*

  11. anonymous
    • 5 years ago
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    got it, thank you. I realy need t brush up and becme more proficient in basic college algebra skills like square rts and exponents. they still trip me up. The answer is 4 btw :)

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