Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

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

Examine the continuity of the function f(x) = 2x² –1 at.x = 3

Prove that the function f(x) = xⁿ is continuous at x = n, where n is a positive integer.