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Class 12 Continuity And Differentiability · Mcq Single Correct1 Markspiecewise_continuity

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #6

Let f(x)=x/|x| for x<0 and f(x)=−1 for x≥0. What is its complete continuity set?

(A) R
(B) {0}
(C) R∖{0}
(D) {−1,1}

✅ Step-by-Step Solution

Final Answer: Option (A): R

For x<0, x/|x|=−1. Thus f is the constant −1 on all of R and is continuous everywhere.

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