Q4 of 147 Page 159

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

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.


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