UPSC NDA Math Model Paper 3

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Question : 6 of 120

Marks: +1, -0

Let f(x) = [x], where [.] is the greatest integer function and g(x) = sin x be two real valued functions over R.
Which of the following statements is correct?

Both f(x) and g(x) are continuous at x = 0.
f(x) is continuous at x = 0, but g(x) is not continuous at x = 0.
g(x) is continuous at x = 0, but f(x) is not continuous at x = 0
both f(x) and g(x) are discontinuous at x = 0.

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