Question

if f(x)=x^2 sin 1/x when x is not = 0 =0, when x=0 Then find the derivative of f(x) at x=0​

Answer 1

Answer:

Lim f (×)= x tends to 0 , but -1 is less than or equal to sin ( 1/x ) greater than to -1 and x tends to zero then

lim f (x) = 0 x tends to zero =0=f (0).

Therefore f (x) is continuous at x=0

Also the function f (x) =x square sin (1/x) is

differentiable because

Rf(x) =lim h tends to zero h square sin 1/h-0/h=0

Lf (x) = lim h tends to zero h square sin (1/-h)/-h =0

Hope it helps u ❤

Thank u

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Answer 2

Answer:

✥ See the attachment photo.

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✥ Mark as brainlist.