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Q.

If the following functions are continuous at x=0, then ascending order of a, b, c is 1) f(x)=sin2xx for x≠0,f(0)=a 2) f(x)=tanxx for x≠0,f(0)=b 3) f(x)=sin x2x for x≠0,f(0)=c

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a

a, b, c

b

c, b, a

c

c, a, b

d

a, c, b

answer is B.

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Detailed Solution

1) a=f(0)=Ltx→0sin2xx=2 2) b=f(0)=Ltx→0tanxx=13) c=f(0)=Ltx→0sinx2x=12c
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