For each of the following limits, determine the indicated limit if it exists.

lim f(x)=?
x approaches 4 from the left
f(x)= -3.9997

f(x) is constant. It does not matter what x is.

To determine the limit of a function as x approaches a particular value, we can evaluate the function's value from both the left and the right side of that value and see if they approach the same value.

In this case, we want to find the limit as x approaches 4 from the left for the function f(x) = -3.9997.

To find the limit, you can start by substituting x values that are slightly less than 4 into the function. Since x approaches 4 from the left, choose x values between 3 and 4. Let's use x = 3.9, x = 3.99, and x = 3.999.

For x = 3.9, f(3.9) = -3.9997.
For x = 3.99, f(3.99) = -3.9997.
For x = 3.999, f(3.999) = -3.9997.

As you can see, for all three values of x, the function's value remains -3.9997. This suggests that as x approaches 4 from the left, the function approaches -3.9997 as well.

Therefore, the limit of f(x) as x approaches 4 from the left is -3.9997.