GATE 2015 CS – Question 12
$\lim_{x \to \infty} x^{1/x}$ is
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Correct answer: (C) 1
Explanation
Write $x^{1/x} = e^{\frac{\ln x}{x}}$. As $x \to \infty$, $\frac{\ln x}{x} \to 0$, so the limit is $e^0 = 1$.