UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :
Let f(x)=|x|+1 and g(x)=[x]−1, where [.] is the greatest integer function.
Let h(x)=‌

f(x)

g(x)

Question : 87 of 120

Marks: +1, -0

Consider the following statements :
1. f(x) is differentiable for all x<0
2. g(x) is continuous at x=0.0001
3. The derivative of g(x) at x=2.5 is 1
Which of the statements given above are correct?

1 and 2 only
2 and 3 only
1 and 3 only
1,2 and 3

Validate

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