Question

Determine the limit of the function g(x)=3x+2/x as x approaches 3.

a) 5
b) 3
c) 2
d) 1

Answer 1

The limit of the function g(x) = (3x + 2) / x as x approaches 3 is 3.67.

Step-by-step explanation:

To determine the limit of the function g(x) = (3x + 2) / x as x approaches 3, we substitute x = 3 into the function and evaluate the result. We have:

g(3) = (3(3) + 2) / 3 = (9 + 2) / 3 = 11 / 3 = 3.67

Therefore, the limit of the function as x approaches 3 is approximately 3.67. So the correct answer is (b) 3.