Prove that the function `f(x)=5x-3` is continuous at `x=0` ,at `x=-3` and at `x=5`

Show that the function f(x)=2x-|x| is continuous at x=0.

Show that the function f(x)=2x-|x| is continuous at x=0 .

Prove that the function f(x) =2x^2-3x+2 is continuous at at x=1.

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

Find the values of a and b so that the function f given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0 .

Examine whether the function f given by f(x)=x^(3) is continuous at x =0

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

Prove that the function f(x)=3x^5+40 x^3+240 x is increasing on R .