The correct option is C 4Given, #160; lim _ x→1/3 9 x ^ 2 +6x +1 Substituting x = 1/3 , we get lim _ x→1/3 9 x ^ 2 +6x +1 =9 (13) ^ 2 +6(1/3) ...

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Algebra of Limits

limx→ 1/39x2+...

Question

$lim x \to 1 / 3 9 x^{2} + 6 x + 1$ = ______

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1/4

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1/2

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Solution

The correct option is C 4
Given, $lim x \to \frac{1}{3} 9 x^{2} + 6 x + 1$
Substituting $x = \frac{1}{3}$ , we get
$lim x \to \frac{1}{3} 9 x^{2} + 6 x + 1 = 9 {(\frac{1}{3})}^{2} + 6 (\frac{1}{3}) + 1 = 1 + 2 + 1 = 4$

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