" (ii) "f(x)={[x cos(1)/(x)," when ",x!=0],[0," when ",x=0]

Prove that the function f(x) = {{:(x cos 1/x"," , "when " x != 0),(0",", "when " x = 0):} is continuous at x = 0

Show that the function f(x)={{:(x"cos"(1)/(x),"when"xne0),(0,"when"x=0):} is continuous at x=0.

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0

Test the continuity of the function f (x) : f(x)={{:(x^(2)sin.(1)/(x),"when " xne0),(0,"when " x=0):}

Show that the following functions are continuous at x = 0 : f(x)={{:(x"cos"1/x" when "xne0),(0" when "x=0):}

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

Show that f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0):} is continuous but not differentiable at x = 0

Show that f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0):} is continuous but not differentiable at x = 0

Show that f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0):} is continuous but not differentiable at x = 0