Now, lim_x→ 4√(x) 2x 4 =lim_x→ 4√(x) 2(√(x) 2)(√(x)+2) lim_x→ 41√(x)+2 =12+2 =14 . ...

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Substitution Method to Remove Indeterminate Form

limx→ 4√x-2x-...

Question

$lim x \to 4 \frac{\sqrt{x} - 2}{x - 4} =$

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Solution

Now,
$lim x \to 4 \frac{\sqrt{x} - 2}{x - 4}$
$= lim x \to 4 \frac{\sqrt{x} - 2}{(\sqrt{x} - 2) (\sqrt{x} + 2)}$
$lim x \to 4 \frac{1}{\sqrt{x} + 2}$
$= \frac{1}{2 + 2}$
$= \frac{1}{4}$ .

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