Examine the continuity of the function 'f' at x = 0, if `f(x) ={(x sin(1/x)),(0):}, ((x ne 0),(x = 0))

Examine the continuity of the function 'f' at x = 0, if f(x) ={(x^2sin(1/x)),(0):}, ((x ne 0),(x = 0))

Examine the continuity of the function 'f' at x = 0, if f(x) ={(x cos(1/x)),(0):}, ((x ne 0),(x = 0))

Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx|/x, when x ne 0),(1, when x=0):}

Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{(( |x|/x) , x ne 0),(0,x=0):}

Examine for continuity, the function 'f' defined by f(x) = {:{(e^(1//x), x ne 0),(0,x=0):} at x = 0

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0

Determine value of k so that the following function f(x) is continuous at x = 0. f(x) ={((sin 5x)/(3x)),(k):}, ((x ne 0),(x =0))

Discuss the continuity of the function f defined by f(x) = 1/x, x ne 0

Find the value of 'A', if the function f at (x) = 0 is continuous when f(x) ={((1-cos Ax)/(x sin x)),(1/2):}, ((x ne 0),(x =0))