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Stoichiometry

limx → 3x4 - ...

Question

$lim x \to 3 \frac{x^{4} - 81}{2 x^{2} - 5 x - 3}$

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Solution

${lim}_{x \to 3} \frac{x^{4} - 81}{2 x^{2} - 5 x - 3}$
Using LHR.
$\frac{{4 x}^{3}}{4 x - 5} \Rightarrow \frac{4 \times {(3)}^{3}}{12 - 5} \Rightarrow \frac{108}{7}$

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