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Jump of a Discontinuity

Let fx =a x ...

Question

Let f(x) = ${\begin{matrix} a & x > c b & x \geq c \end{matrix}} : a, b, c ϵ - R$
if f(x) is discontinuous at x = c, and have a jump at x = c then the value of jump is -

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Solution

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

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