Consider the following statements in respect of the function f(x)=\sin(1/x) for x\neq0 and f(0)=0 1. \lim_{x\to0}f(x) exists 2. f(x) is continuous at x = 0 Which of the above statements is/are correct? [NDA II 2019]

Correct Answer is : Neither 1 nor 2

UPSC NDA 2 2019 Mathematics Solved Paper

Question : 72 of 120

Marks: +1, -0

Consider the following statements in respect of the function f(x)=sin(

) for x≠0 and f(0)=0
1.

lim

x→0

f(x) exists
2. f(x) is continuous at x = 0
Which of the above statements is/are correct?

[NDA II 2019]

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