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Jump of a Discontinuity

What is the v...

Question

What is the value of jump at x = 2, for f(x);
f(x) =

2

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Solution

The correct option is A 2
We can see that left hand limit at x = 2 is = 1 and Right hand limit at x = 2 is = 3
So, jump = $∣ ∣ ∣ l i m x \to 2^{-} f (x) - l i m x \to 2^{+} f (x) - ∣ ∣ ∣ = | 1 - 3 | = 2$

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