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

Question

Philoid · Accepted Answer

It is given that function f (x) = xⁿ

We can see that f is defined at all positive integers, n and the value of f at n is nⁿ.

= nⁿ

Thus,

Therefore, f is continuous at x =n, where n is a positive integer.

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