Question

$\lim_{x \to ∞}\frac {ln(x)}{2(x^{1/2})}=$

• A. 1
• B. 0
• C. -2
• D. 1/2

Answer 1

Answer:

B. 0

$\lim_{x \to ∞}\frac {ln(x)}{2(x^{1/2})}$

$=\lim_{x \to ∞} \frac{1/x}{2 \times \frac{1}{2{(x)}^{1/2}}}$

$=\lim_{x \to ∞} \frac{1}{x} \times \frac{x^{1/2}}{1}$

$=\lim_{x \to ∞} \frac{1}{x^{1/2}} = 0$