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

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

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Tuthornt
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 $$\lim_{x \rightarrow \infty}(8+\frac{1}{x}) \text{is} 8.$$