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NDA Math Limit, Continuity and Differentiability

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For the next two (2) items that follow :
Consider the function
f(x)={

αcosx

π−2x

if

x≠

π

2

3

if

x=

π

2

which is continuous at x=

π

2

,where α is a constant.

[NDA I 2015]

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Question : 85

Total: 105

What

f(x) equal to ?

0
3
3
π
6
π

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