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NDA Math Limit, Continuity and Differentiability

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

1−sinx

(π−2x)2

where x≠

π

2

and f(

π

2

)=λ

[NDA I 2014]

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Question : 105

Total: 105

What is the value of λ if the function is continuous at x=

1/8
1/4
1/2
1

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