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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow:
Let f(x)={

ex−1

x

,

x>0

0,

x=0

be a real valued function.

[NDA II 2016]

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Question : 84

Total: 120

Which one of the following statements is correct ?

f(x) is a strictly decreasing function in (0,x),
f(x) is a strictly increasing function in (0,x),
f(x) is neither increasing nor decreasing in (0,x)
f(x) is not decreasing in (0,x).

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