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प्रश्न
Prove that the function f(x) = xn is continuous at x = n, where n is a positive integer.
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उत्तर
f(x) = xn
`lim_(x->n)` f(x) = `lim_(x -> n)` xn = nn
f(n) = nn
`lim_(x -> n)` f(x) = f(n)
f is continuous at x = n, where n is a positive integer.
⇒ f is continuous at n ∈ N.
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