` f(x) = {:{ ("sin"1/x,x !=0), (1,x=0" पर संतत है अथवा असंतत ।") :}`

f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is continuous at x =0

Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}

Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?

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