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Q.

If f(x)=a|sin⁡x|+be|x|+c|x|3 andif f(x) is differentiableat x=0,then

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a

a=b=c=0

b

a=b=0,c∈R

c

b=c=0,a∈R

d

a=c=0,b∈R.

answer is B.

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Detailed Solution

For  x≠0,f(x)=x2+x21+x21−11+x2=x2+1Also, f(0)=0.∴f(x) is discontinuous at x=0.
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