AP EAMCET Engineering 2012 Solved Paper

Section: Mathematics

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Question : 101 of 160

Marks: +1, -0

Let f:R→R be defined by

f(x)={

α+

sin[x]

x

,

if x>0

2,

if x=0

β+[

sin‌x−x

x3

],

if x<0

where, [x] denotes the integral part of x. If f continuous at x=0, then β−α is equal to

−1
1
0
2

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