What is the limit as x approaches infinity of (1/x)/(1/(2sqrt(x))) ?

The limit as x approaches infinity of (1/x)/(1/(2sqrt(x))) is 0

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limit as x approaches infinity of (1/x)/(1/(2sqrt(x)))

x \to \infty lim (\frac{\frac{1}{x}}{\frac{1}{2 x}})

0

Solution steps

x \to \infty lim (\frac{\frac{1}{x}}{\frac{1}{2 x}})

Simplify

\frac{\frac{1}{x}}{\frac{1}{2 x}} : \frac{2}{x}

= x \to \infty lim (\frac{2}{x})

Apply Infinity Property:

x \to \infty lim (\frac{c}{x ^{a}}) = 0

= 0

x \to - \frac{π}{4} lim (e^{t a n (x)})

x \to 0 lim (\frac{5 ^{x} - 6 ^{x}}{x})

x \to 1 + lim (\frac{x}{1 - x})

x \to 0 + lim (x ∣ x ∣)

x \to 0 lim (\frac{8}{x})

What is the limit as x approaches infinity of (1/x)/(1/(2sqrt(x))) ?
The limit as x approaches infinity of (1/x)/(1/(2sqrt(x))) is 0