Question

Consider the following limit.
lim _{x--->6}(9 x+6) Find the limit L.
Find |f(x)-L|

Answer 1

The limit of the function f(x) = 9x + 6 as x approaches 6 is 60. The absolute difference between f(x) and L is 9|x - 6|.

Step-by-step explanation:

To find the limit L of the function f(x) = 9x + 6 as x approaches 6, we substitute 6 into the function:

f(6) = 9(6) + 6 = 60

Therefore, the limit as x approaches 6 is L = 60.

To find the absolute difference between f(x) and L, we subtract L from f(x):

|f(x) - L| = |9x + 6 - 60| = |9x - 54| = 9|x - 6|