# In the following graph, how do you determine the value of c such that #lim_(x->c) f(x)# exists?

##### 1 Answer

May 13, 2018

show below

#### Explanation:

show below:

For the function in the graph below f(x) is defined when x = -2 but the value which f(x) will approach as x gets closer to -3 from the left is different from the value that it will approach as x gets closer to -3 from the right.

Looking at the graph we can see that as x approaches -3 from the left f(x) approaches (negative two) however as x approaches -3 from the right f(x) approaches (negative three).

so

the limit does not exist at

in the same way when x rarr to zero

the limit does not exist at

so the values of c equals