Question

evaluate limit
lim_x approaches 4 (x-4)^3/l 4-x l

Answer 1

\[lim_{x \rightarrow 4} \frac{(x-4)^3}{| 4-x |}\]like that?

Answer 2

yes

Answer 3

that would be zero

Answer 4

pliz help me

Answer 5

how to show ?

Answer 6

\[|4-x|=|x-4|=\sqrt{(x-4)^2}\] you can divide by this to get
\[(x-4)^2\] and that limit is certainly zero

Answer 7

ok tq