Q. 43.7( 104 Votes )
Prove that the function f (x) = xn is continuous at x = n, where n is a positive integer.
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.
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