Problem

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow-4}(9 x-5) \] Need Help? Read It Submit Answer

Solution

Step 1 :The limit of a function as x approaches a certain value is simply the value of the function at that point, provided the function is defined at that point. In this case, we are asked to find the limit of the function f(x) = 9x - 5 as x approaches -4. This is a linear function and is defined for all real numbers, so we can simply substitute x = -4 into the function to find the limit.

Step 2 :Substitute x = -4 into the function: \(9(-4) - 5 = -41\)

Step 3 :Final Answer: The limit of the function as x approaches -4 is \(\boxed{-41}\)

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