Consider the following statements: 1. The function f(x)=[x] , where [.] is the greatest integer function defined on R , is continuous at all points…

Question

Consider the following statements: 1. The function f(x)=[x] , where [.] is the greatest integer function defined on R , is continuous at all points except at x=0 . 2. The function f(x)=sin |x| is continuous for all x ∈ R . Which of the above statements is/are correct?

MARKS Content Team · Accepted Answer

Correct answer: (B) 2 only. The correct answer is option(B)

Consider the following statements: 1. The function $f(x)=[x]$, where [.] is the greatest integer function defined on $\mathrm{R}$, is continuous at all points except at $x=0$. 2. The function $f(x)=\sin |x|$ is continuous for all $x \in \mathrm{R}$. Which of the above statements is/are correct?

Solution

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