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Kryger [21]
3 years ago
5

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

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

\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

Hence, the limit is 1, L = 1

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