Find the value of `a` for which `f(x)={x^2,x in Q x+a ,x !in Q` is not continuous at any `xdot`

Find the value of a if the function f(x) defined by f(x)={2x-a, ,x 2 if function continuous at x=2

Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \ \ x 2 is continuous at x=2

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

If f(x) = {:{(px^(2)-q, x in [0,1)), ( x+1 , x in (1,2]):} and f(1) =2 , then the value of the pair ( p,q) for which f(x) cannot be continuous at x =1 is:

Find the value of f(0) so that the function given below is continuous at x=0 f(x)=(1-cos2x)/(2x^2)

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monotonically increasing for all values of xdot

The function f(x)={{:( 1, x in Q),(0, x notin Q):} , is

Find the maximum and the minimum values of f(x)=3x^2+6x+8,\ \ x in R , if any.