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)

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Question : 88 of 120

Marks: +1, -0

What is

lim

x⟶0−

h(x)+

lim

x⟶0+

h(x) equal to?

−‌
3
2
−‌
1
2
‌
1
2
‌
3
2

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