If f(x) = |x| - 3, find lim(x→3)f(x)

Question

If f(x) = |x| - 3, find \(\lim\limits_{\text x \to0} \) f(x)

lim(x→3)

Answer 1

Left Hand Limit(L.H.L.):

Right Hand Limit(R.H.L.):

We can say that the limit exists and

\(\lim\limits_{\text x \to3} \) f(x) = 0