Evaluate the following limits in Exercise 1 to 22.
`lim_(x to 3)3x+6`

Answer

To evaluate the limit \( \lim_{x \to 3} (3x + 6) \), we can follow these steps:

### Step 1: Write the limit expression
We start with the limit expression:
\[ \lim_{x \to 3} (3x + 6) \]

### Step 2: Substitute the value of \( x \)
Since the expression \( 3x + 6 \) is a polynomial, we can directly substitute \( x = 3 \) into the expression:
\[ 3(3) + 6 \]

### Step 3: Perform the multiplication
Now, we calculate the multiplication:
\[ 3 \times 3 = 9 \]

### Step 4: Add the constant
Next, we add 6 to the result from the previous step:
\[ 9 + 6 = 15 \]

### Step 5: State the limit value
Thus, the value of the limit is:
\[ \lim_{x \to 3} (3x + 6) = 15 \]

### Final Answer
The limit evaluates to:
\[ \boxed{15} \]

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