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Q.

If f(x)=xex then at x=0

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a

f is continuous

b

f is continuous but not differentiable

c

f is differentiable

d

the derivative is 1

answer is B.

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Detailed Solution

L.H.D. =Ltx→0−⁡−xexx=−1,  R.H.D. =Ltx→0+xexx=1f is continuous but not differentiable.
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