Find the limit, if it exists: lim_{x rightarrow infty}(8+frac{1}{x})

York 2021-02-20 Answered
Find the limit, if it exists: \(\lim_{x \rightarrow \infty}(8+\frac{1}{x})\)

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Expert Answer

Tuthornt
Answered 2021-02-21 Author has 14264 answers
Step 1 It is given that, \(\lim_{x \rightarrow \infty}(8+\frac{1}{x})\) Step 2 Obtain the value of \(\lim_{x \rightarrow \infty}(8+\frac{1}{x})\) as, \(\lim_{x \rightarrow \infty}(8+\frac{1}{x})=\lim_{x \rightarrow \infty} 8+ \lim_{x \rightarrow \infty} \frac{1}{x}\)
\(= 8+0\)
\(= 8\) Step 3 Therefore, the value of \(\lim_{x \rightarrow \infty}(8+\frac{1}{x}) \text{is} 8.\)
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