Prove that x^n is continuous at x=n, where n is positive integer?

1 Answer
Sep 13, 2017

See Below...

Explanation:

The given function is #f(x) = x^n#

We can see that, this function is defined for any number #a in R#, where the value would be #a^n#.

So, #lim_(xrarrn^+) f(x) = lim _(xrarrn^-) f(x) = n^n#

and #f(n) = n^n#

Hence Proved.