Question:
\(\lim_{x \to \infty} \frac{\ln x}{x^n}\) is equal to
\(\lim_{x \to \infty} \frac{\ln x}{x^n}\) is equal to
Updated On: Mar 30, 2025
- 0
- 1
- \(-\frac{1}{2}\)
- \(\infty\)
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The Correct Option is A
Solution and Explanation
As \(x \to \infty\), \(\ln x\) grows slower than any power function \(x^n\). Hence, \[ \lim_{x \to \infty} \frac{\ln x}{x^n} = 0 \]
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