Question: The function f : R R is defined by f ( x ) = { x 3 / 2 s i n x 1 0

The functionf:RR is defined by

f(x)={x3/2sinx10forx=0forx=0

a)find f(x)forx=0 and show thatlimx0f(x) doesnt exist

b) Show that f is derivable at 0 and thatf(0)=0

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