Question

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

Answer 1

factoring time!

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

keep in mind that \(1 = 1^2, 1^3,1^4, 1^5, 1^1000....\)

Answer 6

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

Answer 7

@clara1223 u must find it =12 this limit