Consider the following statements in respect of the function f(x)= ( 1 x^2 ), x 0 : 1. It is continuous at x=0, if f(0)=0. 2. It is continuous at x= 2 . Which of the above statements is/are correct?

NDA 2021 Mathematics question

Consider the following statements in respect of the function , : 1. It is continuous at , if . 2. It is continuous at . Which of the above statements is/are correct?

(A)1 only
(B)2 onlyCorrect
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (B)

Solution

Statement 1: as , and oscillates between and , so does not exist. No choice of can make continuous at 0. Not correct. Statement 2:

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Question ID VK-033689