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Question 6of 13 Step of 400.57*47Use the graph of y f(x) to find the Ilmits:Step 2 of 4: Flnd lim f(x)Enable Zoom/PanPrevNext...

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Question 6of 13 Step of 400.57*47Use the graph of y f(x) to find the Ilmits:Step 2 of 4: Flnd lim f(x)Enable Zoom/PanPrevNext

Question 6 of 13 Step of 4 00.57*47 Use the graph of y f(x) to find the Ilmits: Step 2 of 4: Flnd lim f(x) Enable Zoom/Pan Prev Next



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In Problems $13-32,$ use the accompanying graph of $y=f(x)$ $$\text { Find } \lim _{x \rightarrow-4^{+}} f(x)$$

Yes, we want to find the limit as X approaches and they get a four from our left downside of our whole and function. That's note that I've John part of our function around activity connected for you. So let's see what we have. So we went to approach negative for from our left hand side. So for my left hand side, that's gonna be here. So as we approach negative four for on long left downside, we see that we're approaching this point here, and that point is a two. So we see it. Our limits is equal to two.

Okay, So we're going to need to refer to or graft in our book here. So we want to find the limits as X approaches. Negative six. So let's look at it when x is equal to negative six. And then we went to approach it from our left. So we see that as we're approaching negative six from right, left or graph looks something like this. So for my left, we're approaching larger and larger values, so that's going to be infinity.

Okay, so we want to find a limit as executes Negative six from our right hand side of our function. So I've just I've drawn out part of our function when x is equal to negative six and our graph around it. So we want to approach negative six from our right hand side. So as we approach it from our right hand side, we see that it goes off to infinity for negative infinity. Therefore, limit is equal to negative infinity.

Okay, So this time we want to find a limit as X approaches to from our left hand side. So I've drawn on our graph. Just a portion of it around X is equal to do too. So its approach to from my left hand side Well, as we approach to from her left hand side, we see that we're approaching this value here, and that value is a negative for so this is our limit.


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