Find the following limits :
`lim_(xrarr3) (x^2+x+1)`

Explanation

To find the limit \( \lim_{x \to 3} (x^2 + x + 1) \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Function**: The function we are dealing with is \( f(x) = x^2 + x + 1 \).

2. **Substitute the Limit Value**: Since the function \( f(x) \) is a polynomial, it is continuous everywhere. Therefore, we can directly substitute \( x = 3 \) into the function.

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