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clara1223

  • one year ago

find the limit as x approaches 1 of ((6x^4)-6)/(2x-2)

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  1. freckles
    • one year ago
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    factoring time!

  2. clara1223
    • one year ago
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    \[\lim_{x \rightarrow 1}\frac{ 6x ^{4}-6 }{ 2x-2 }\]

  3. freckles
    • one year ago
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    \[6x^4-6 \\ 6(x^4-1) \\ 6(x^2-1)(x^2+1) \text{ by differece of squares }\] can you use difference of squares again bet you will see a common factor on top and bottom

  4. random231
    • one year ago
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    yup or if you know the l'hospitals theorem then you could use that too.

  5. jdoe0001
    • one year ago
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    keep in mind that \(1 = 1^2, 1^3,1^4, 1^5, 1^1000....\)

  6. jdoe0001
    • one year ago
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    hmm \(1^{1000}\) rather... anyhow \((x^4-1) = (x^4-1^4)\) thus

  7. dinamix
    • one year ago
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    @clara1223 u must find it =12 this limit

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