Question

If possible, choose k so that the following function is continuous on any interval:

f(x)= (5x^4-20x^3)/(x-4) , x≠4
f(x)= K , x=4

k=?

Answer 1

you are being asked for
\[\lim_{x\to 4}\frac{5x^4-20x^3}{x-4}\]

Answer 2

do you know how to find it?

Answer 3

320