We have, lim_x →∞(√(4x^2 #160; ) +2xx) lim_x →∞(2x +2xx) lim_x →∞(4xx) lim_x →∞ 4 =4 Hence, this is the answer. ...

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Algebra of Limits

limx →∞√4x2 +...

Question

$lim x \to \infty (\frac{\sqrt{4 x^{2}} + 2 x}{x})$

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Solution

We have,
$lim x \to \infty (\frac{\sqrt{4 x^{2}} + 2 x}{x})$

$lim x \to \infty (\frac{2 x + 2 x}{x})$

$lim x \to \infty (\frac{4 x}{x})$

$lim x \to \infty 4$

$= 4$

Hence, this is the answer.

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