The correct option is C 2Given, lim _ x→∞ #160; 4x 3 / 2x+3 #160; #160; Dividing the numerator and denominator of the fraction by x , we ge ...

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Factorization Method Form to Remove Indeterminate Form

limx→∞4x-3/ 2...

Question

$lim x \to \infty \frac{4 x - 3}{(2 x + 3)}$ =_____

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\frac{1}{2}

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Solution

The correct option is C 2
Given, $lim x \to \infty \frac{4 x - 3}{2 x + 3}$
Dividing the numerator and denominator of the fraction by $x$ , we get
$lim x \to \infty \frac{4 - \frac{3}{x}}{2 + \frac{3}{x}}$
Substituting $x = \infty$ or $\frac{1}{x} = 0$ , we get
$= \frac{4 - 3 (0)}{2 + 3 (0)} = \frac{4}{2} = 2$

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