find the indicated limit, if it exists. limit of f of x as x approaches negative 4 where f of x equals x plus 3 when x is less than negative 4 and f of x equals 3 minus x when x is greater than or equal to negative 4

Lim f(x) does not exist.

Step-by-step explanation:

First we write the function f(x)

f(x) is a piecewise function

  if  

,    if    .

The graph of this function is shown below.

Then we must find the limit when x approaches -4.

We must calculate the limit on the left of -4 and then calculate the limit on the right of -4.

Limit on the left of -4.

As x approaches -4 on the left then .

Therefore,

So

. (Look at the graph)

Limit to the right of -4.

As x approaches -4 on the right then .

So  

Then

. (Look at the graph)

Note that the limit on the left is different from the limit on the right. Then you can conclude that

Lim f(x) does not exist.

80 the answer is 80

step-by-step explanation: