Evaluate the Lim as x approaches 3 (4x +2)/(x + 4)
I do not understand.
The only time the limit of a rational function is difficult is when the denominator is zero, because division by zero is undefined.
In this case, since x+4 → 3+4 as x→3, everything is cool. Just plug in x=3.
So the limit is just (4*3+2)/(3+4) = 14/7 = 2
To evaluate the limit as x approaches 3 of the expression (4x + 2)/(x + 4), we can simply substitute the value of x into the expression and calculate the result.
Let's plug in x = 3:
(4(3) + 2)/(3 + 4) = (12 + 2)/(7) = 14/7 = 2
Therefore, the limit as x approaches 3 of the expression (4x + 2)/(x + 4) is 2.