In the following question, k=5.8
Let f(x)= {x sin (k/x) x ~= 0,
{L x = 0.
For the given value k, find the value of L so that f(x) is continuous at 0.
Many thanks!!
since |sin(k/x)| <= 1 for all x,
x*sin(k/x) -> 0 as x->0
so, L=0 will fill the hole at x=0.
Doesn't matter what k is.