`lim_(n rarr oo) (1)/(n)=`________.

Answer

To solve the limit \( \lim_{n \to \infty} \frac{1}{n} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Expression**: We need to evaluate the limit of the expression \( \frac{1}{n} \) as \( n \) approaches infinity.

2. **Substitute Infinity**: As \( n \) increases, we can think about what happens to \( \frac{1}{n} \). If we substitute \( n \) with a very large number (approaching infinity), the expression becomes \( \frac{1}{\text{large number}} \).

3. **Evaluate the Limit**: As \( n \) approaches infinity, \( \frac{1}{n} \) approaches \( \frac{1}{\infty} \). Mathematically, \( \frac{1}{\infty} \) is considered to be 0.

4. **Conclusion**: Therefore, we conclude that:
\[ \lim_{n \to \infty} \frac{1}{n} = 0 \]

### Final Answer:
\[ \lim_{n \to \infty} \frac{1}{n} = 0 \]