Ononot — Consider the function f(x) = \lim{n \to \infty} \frac{x^n}{1

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Limits & Continuityhard

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Consider the function $f(x) = \lim_{n \to \infty} \frac{x^n}{1+x^n}$ for $x \geq 0$ . What is the nature of the discontinuity at $x=1$ ?