Question

Let f(x) =$\left\{\begin{array}{cc}a& x>c\\ b& x\ge c\end{array}\right\}:a,b,cϵ-R$
if f(x) is discontinuous at x = c, and have a jump at x = c then the value of jump is -

Answer 1

It is given that the function is discontinuous at x = c, the jump will be nothing but the difference (modulus) of $\left|\underset{x\to c^{-}}{lim}f\right(x)-\underset{x\to c^{+}}{lim}f(x\left)\right|$
= |b - a|