The function `f(x) = 1/(x-5)` is not continuous at `x = 5`. Justify the statement.

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

Prove that the function f (x) = 5 is continuous at x = 2 .

Prove that the function f(x)=2x-5 is continuous at x=-2

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

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

Find the value of k if the function f(x) = kx+1 if x 3x-5 if x>5 is continuous at x=5

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if xle 5),(3x-5, if x>5):} is continuous at x = 5.

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

Show that f(x)=e^(5x) is a continuous function.