WEBVTT
00:00:00.690 --> 00:00:05.840
Determine the limit as 𝑥 approaches negative four from the left of 𝑓 of 𝑥.
00:00:07.120 --> 00:00:09.670
We don’t know what the function 𝑓 of 𝑥 is.
00:00:09.670 --> 00:00:13.710
So we’re going to try and use the graph we’ve been given to work out this limit.
00:00:14.960 --> 00:00:18.710
We’re interested in the point negative four on the 𝑥-axis.
00:00:19.920 --> 00:00:24.910
If we look at the point 𝑥 is negative four, we can see that the function is undefined.
00:00:26.130 --> 00:00:31.190
However, we’re asked to work out the limit as 𝑥 approaches negative four from the left.
00:00:32.220 --> 00:00:38.690
So if we look at our graph, we can see that the graph approaches the value negative three.
00:00:39.720 --> 00:00:43.450
It doesn’t actually get to negative three; but it’s approaching negative three.
00:00:44.510 --> 00:00:50.490
And so the limit as 𝑥 approaches negative four from the left of 𝑓 of 𝑥 equals negative three.