00:01
In this problem, we have been given the graphs of two functions, f and g, and we need to use these graphs to determine the given limits.
00:08
The first limit we have been asked to determine is the limit as x tends to 1 of f of x plus g of x.
00:16
Now here we will use the sum rule of limits.
00:20
According to the sum rule of limits, the limit of a sum is equal to the sum of the limits.
00:25
That is, this will be equal to the limit as x tends to 1 of fx plus the limit as x tends to 1 of gx.
00:34
Now let us calculate these.
00:37
First of all, consider the limit as x tends to 1 of fx.
00:40
That is the value that f of x approaches as x approaches 1.
00:44
From the graph, we can see that as x approaches 1 from both the left and right, the graph of fx approaches the value 2.
00:51
So this limit will be 2.
00:53
And for the limit as x tends to 1, gx, we can see from the graph that as x approaches 1 from both the left and right.
01:00
The graph of gx, this approaches the x -axis, that is, it approaches the value 0...