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Question
The value oflimx031+sinx31sinxxis
Options:
A .  2/3
B .  -2/3
C .  3/2
D .  -3/2
Answer: Option A
:
A
limx031+sinx31sinxx=limx0(1+sinx)(1sins)(1+sinx)2/3+(1+sinx)2/3+(1sinx)2/3(1sinx)2/3×1x=limx02(1+sinx)2/3+(1+sinx)1/3+(1sinx)1/3+(1sinx)2/3×sin(x)x
= 23.1=23

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