UPSEE 2017 Solved Paper

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Question : 127 of 150

Marks: +1, -0

Let f(x)={

α(x)‌sin‌

πx

2

for x≠0;

1

for x=0

where α(x) is such that

lim

x→0

|α(x)|=∞
Then the function f(x) is continuous at x=0 if α(x) is chosen as

2
πx
1
x2
2
πx2
1
x

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