Consider the following statements in respect of the function f(x)=\sin (\frac{1}{x^{2}}), x \neq 0: 1. It is continuous at x=0, if f(0)=0. 2. It is continuous āt x=\frac{2}\sqrt{\pi}. Which of the above statements is/are correct? [NDA-II 2021]

UPSC NDA 2 2021 Mathematics Solved Paper

Question : 78 of 120

Marks: +1, -0

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

),x≠0:
1. It is continuous at x=0, if f(0)=0.
2. It is continuous āt x=‌

√π

.
Which of the above statements is/are correct?

[NDA-II 2021]

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