Question

lim as x approaches 4 f(x) = 0. how do i find the lim as x approaches 4 xf(x)

Answer 1

the "limit of the product" is equal to the "product of the limits"

Answer 2

so
\[\lim_{x\to 4}xf(x)=\lim_{x\to 4}x\times \lim_{x\to 4}f(x)=4\times 0=0\]