The correct option is D 0Given, #160; lim _ x→ 3 x ^ 3 3 x ^ 2 +x 3 Substituting x = 3 , we get lim _ x→ 3 x ^ 3 3 x ^ 2 +x 3 = 3 ^ 3 3 ( ...

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Algebra of Limits

limx→ 3x3-3x2...

Question

$lim x \to 3 x^{3} - 3 x^{2} + x - 3$ = ________

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Solution

The correct option is D 0
Given, $lim x \to 3 x^{3} - 3 x^{2} + x - 3$
Substituting $x = 3$ , we get
$lim x \to 3 x^{3} - 3 x^{2} + x - 3 = 3^{3} - 3 {(3)}^{2} + 3 - 3 = 27 - 27 + 3 - 3 = 0$

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