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`

If f(x)={x,x in Q;-x,x!in Q then f is continuous at

Function f(x)={-1,x in Q and 1,x!in Q is continuous at x=0

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

Find the value of a,so that f(x)={a sin{(pi)/(2)(x+1)},quad if x 0 is continuous at x=0

let f(x)={2,x in Q),(-2,x!in Q), then

find values of p and q for which f(x) = {(1-sin^3x)/(3cos^2x) , if x pi/2 is continuous at x = pi/2

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,quad x 2 is continuous at x=2

Find the value of a for which the following function is continuous at a given point. f(x)={("sin"[x])/([x+1]),\ for\ x >0(cospi/2[x])/([x]),\ for\ x<0\ a t\ x=0,\ \ a ,\ a t\ x=0 where [x] denotes the greatest less than or equal to xdot

Proved that: f(x)=[x\ if\ x in Q-x\ if\ x !in Q\ is continuous only at x=0.