Question

If possible, choose k so that the following function is continuous on any interval: F(x)=6x^5-24x^4/x-4 (x cannot =4)
F(x)=k (x=4)

Answer 1

is this a different question?

Answer 2

this time you are being asked for
\[\lim_{x\to 4}\frac{6x^5-24x^4}{x-4}\]

Answer 3

yes

Answer 4

So should i put 4 in for x?

Answer 5

320

Answer 6

is this d answer??

Answer 7

if there is any hope for this limit to exist, there must be a factor of \(x-4\) in the numerator to cancel with the \(x-4\) in the denominator

Answer 8

factor and cancel, then replace \(x\) by \(4\)

Answer 9

Thank you!!! It's 1536

Answer 10

i guess
when you factor and cancel you get \(6x^4\)

Answer 11

yeah you are right