UPSC NDA I 2015 Mathematics Solved Paper

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For the next two (2) items that follow :
Consider the function
f(x)={
αcosx
π−2x
ifx≠
Ï€
2
3ifx=
Ï€
2

which is continuous at x=
Ï€
2
,where α is a constant.
[NDA I 2015]
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Question : 75 of 120
 
Marks: +1, -0
What
lim
x→0
f
(x)
equal to ?
[NDA I 2015]
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