" Let "f(x)={[x^(p)sin(1)/(x),x!=0],[0quad ,x=0]

Let f(x)={x^(p)sin((1)/(x)),x!=0 and 0,x=0 and A and B are two sets such that A and B are continuous anddifferential of f(x) at x=0 respectively then find A nn B.

Let f(x)={x^(p)sin((1)/(x))+x|x^(3)|,x!=0,0,x=0 the set of values of p for which f'(x) is continuous at x=0 is

The least integral value of p for which f'(x) is everywhere continuous where f(x){x^(p)sin((1)/(x))+x|x|,x!=0 and 0,x=0 is

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0. If

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if

The least integral value of p for which f"(x) is everywhere continuous where f(x)={x^p sin(1/x)+x|x|, x!=0 and 0, x=0 is _________'

Let f:R rarr R be defined by f(x)={x+2x^(2)sin((1)/(x)) for x!=0,0 for x=0 then