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2 years ago

6

PLEASE HELP

1 answer:

Genrish500 [490]2 years ago

8 0

Answer:

Step-by-step explanation:

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2 years ago

Determine the infinite limit. <br><br> lim (x + 6) / (x + 7)<br> xââ7â

scoray [572]

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$\lim_{x \to \infty} \frac{x+6}{x+7}$ = 1

Step-by-step explanation:

You have to calculate the following limit:

$\lim_{x \to \infty} \frac{x+6}{x+7}$

To solve the previous limit, you can factor x from numerator and denominator of the function, and use the fact that c/∞ = 0 with c a constant.

$\lim_{x \to \infty} \frac{x+6}{x+7}= \lim_{x \to \infty}\frac{x(1+\frac{6}{x})}{x(1+\frac{7}{x})}=\lim_{x \to \infty}\frac{1+6/x}{1+7/x}=\frac{1+0}{1+0}=1$

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