Let `f(x)= {(1+|x-2|, xne2),(2, x=2):}`, then at x=2, `f(x)` has

Discuss the continuity of the function : f(x)={{:((|x-2|)/(x-2)", "xne2),(1" ,"x=2):} at x = 2

Let f(x)= {{:(|x| cos (1//x)+9x^2, xne 0),(k, x=0):} then f is continuous if the value k is

Discuss the continuity of the function : f(x)={{:((|x-2|)/(2-x)", "xne2),(-1" ,"x=2):} at x = 2

Let f(x)=x^(3)-x^(2)+12x-3 then at x=2f(x) has

Let f(x)={{:((|x|)/(x)",",xne0),(2",",x=0.):} Show that lim_(xrarr0)f(x) does not exist.

f(x)={(2-|x^(2)+5x+6|"",xne-2),(a^(2)+1"",x=-2):} ,then the range of a, so that f(x) has maxima at x=-2 is

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

If f(x)={{:(,[x]+[-x],,,xne2 ),(," "lamda,,,x=2):} then f is continuous at x=2, provided lamda is equal to -