00:01
In this question, the graph of a function g of x is given as follows.
00:07
This is the given graph of the function.
00:11
Now using this graph, we need to obtain the values of the given limits.
00:15
The first given limit is limit x approaches to negative of 6, g of x.
00:24
Now in the graph of g of x at x is equal to negative of 6, the left hand limit, approaches 0 and the right hand limit also approach is 0 but the value of the function at minus 6 does not exist because there is an empty circle at x is equal to negative of 6 therefore the value of function at that point does not exist hence the limit x approaches to negative of 6 g of x does not exist this is the solution for the first subpart.
01:08
Now, the limit is given as limit is given as limit x approaches to negative of 2 g of x.
01:27
Now at x is equal to negative of 2, the value of the function is negative of 4.
01:35
The left hand limit approaches negative of 4.
01:39
The right hand limit also approaches negative.
01:42
Of 4 and the value of function at the point negative of 2 is also negative of 4 as it is a solid circle at point minus 2 comma minus 4 hence the limit of the function x approaches to negative of 2 g of x is negative of 4 this is the required solution for the for the third subpart the given limit is limit x approaches to 0 g of x...