दिखाइए कि ` f(x) = {:{ (sin1/x,x!=0),(0,x=0):}` पर फलन असंतत है ।

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 .

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

Examine for continuity the function : f(x) = {:{(sin^-1 |x|, x ne 0), (0, x = 0):} at x = 0

If f(x) = {{:(sin1/x, x ne 0),(k, x =0):} , is continous at x=0, then k is equal to-

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

If f(x)=sin((1)/(x)), then 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