Final answer:
The limit of the given expression as x approaches 3 is 7.
Step-by-step explanation:
The given question is asking for the limit of a function as it approaches a specific value, which is a mathematical concept known as a limit. The expression provided can be simplified by applying the limit properties and simplifying the algebraic expression.
First, we can simplify the expression by dividing both the numerator and denominator by x to cancel out the common factors. By doing so, we get (13 + 5/x)/(1 + 1/x).
Next, we can take the limit as x approaches 3. By substituting x = 3 into the expression, we get (13 + 5/3)/(1 + 1/3). Simplifying further, we obtain the value of the limit as 14/2 = 7.