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Q.

If f:RR is defined byf(x)= 2sinxsin2x2xcosxifx0                a       ifx=0,then the value of a so that f is continuous at 0 is

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a

2

b

1

c

-1

d

0

answer is D.

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Detailed Solution

Using L – H rule a=0

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If f:R→R is defined byf(x)= 2sinx−sin2x2xcosxifx≠0                a       ifx=0,then the value of a so that f is continuous at 0 is