Question

Find the limit. $$ \lim _{x \rightarrow-3}(3 x+2) $$

Short answer

The limit of the function \(3x +2\) as \(x\) approaches \(-3\) is \(-7\).

Step-by-step solution

Identify the Function and the Limiting Value

The function given is \(3x + 2\) and we are asked to find the limit as \(x\) approaches \(-3\).

Substitute the Limiting Value into the Function

Substitute \(x = -3\) into the function. \(3x + 2\) becomes \(3(-3) + 2\). Then we simplify this expression to get the limit.

Perform the Calculation

Perform the calculation to find the limit. It works out as \(-9 + 2 = -7\)