NDA Math Limit, Continuity and Differentiability

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For the next two (02) items that follow:
Consider the function f(x)=
1sinx
(π2x)2

where x
π
2
and f(
π
2
)
=λ
[NDA I 2014]
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Question : 105 of 105
 
Marks: +1, -0
What is the value of λ if the function is continuous at x=
π
2
[NDA I 2014]
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