## clara1223 one year ago find the limit as x approaches 1 of ((6x^4)-6)/(2x-2)

1. freckles

factoring time!

2. clara1223

$\lim_{x \rightarrow 1}\frac{ 6x ^{4}-6 }{ 2x-2 }$

3. freckles

$6x^4-6 \\ 6(x^4-1) \\ 6(x^2-1)(x^2+1) \text{ by differece of squares }$ can you use difference of squares again bet you will see a common factor on top and bottom

4. random231

yup or if you know the l'hospitals theorem then you could use that too.

5. jdoe0001

keep in mind that $$1 = 1^2, 1^3,1^4, 1^5, 1^1000....$$

6. jdoe0001

hmm $$1^{1000}$$ rather... anyhow $$(x^4-1) = (x^4-1^4)$$ thus

7. dinamix

@clara1223 u must find it =12 this limit