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raquelrivera03
29.01.2020 •
Mathematics
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
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Ответ:
Lim f(x) does not exist.
Step-by-step explanation:
First we write the function f(x)
f(x) is a piecewise function
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,![f(x) = x + 3](/tpl/images/0483/6614/c3584.png)
So
Limit to the right of -4.
As x approaches -4 on the right then
.
So![f(x) = 3-x](/tpl/images/0483/6614/4bdcd.png)
Then
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.
Ответ:
Then:
6x = x+6
6x–x = 6
5x= 6
x = 6/5
Checking this through a calculator, both times, the solution for 6/5 is 7.2
Hope I helped :)