It is given that function f (x) = xnWe can see that f is defined at all positive integers, n and the value of f at n is nn. = nnThus, Therefore, f is continuous at x =n, where n is a positive integer.

Q. 43.7( 115 Votes )

Prove that the fu

Class 12th NCERT - Mathematics Part-I 5. Continuity and Differentiability

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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