The correct option is B FalseWe have, lim_x→ 4x^2 16x 4 lim_x→ 4(x 4)(x+4)x 4 lim_x→ 4 x+4 =4+4=8 Hence, this is the answer. ...

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Substitution Method to Remove Indeterminate Form

limx→ 4x2-16x...

Question

${lim}_{x \to 4} \frac{x^{2} - 16}{x - 4} = 4$

True

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False

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Solution

The correct option is B False
We have,
${lim}_{x \to 4} \frac{x^{2} - 16}{x - 4}$

${lim}_{x \to 4} \frac{(x - 4) (x + 4)}{x - 4}$

${lim}_{x \to 4} x + 4$

$= 4 + 4 = 8$

Hence, this is the answer.

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