Consider the following statements in respect of a function f(x) : 1. f(x) is continuous at x=a iff \lim_{x \to a} f(x) exists. 2. If f(x) is continuous at a point, then \frac{1}{f(x)} is also continuous at that point. Which of the above, statements is/are correct?

Correct Answer is : Neither 1 nor 2

UPSC NDA I 2013 Mathematics Paper

Question : 6 of 120

Marks: +1, -0

Consider the following statements in respect of a function f(x) :
1. f(x) is continuous at x=a iff

lim

x→a

f(x) exists.
2. If f(x) is continuous at a point, then ‌

f(x)

is also continuous at that point.
Which of the above, statements is/are correct?

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