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Use the graph of G shown to the right to find the limit Iimit does not exist necessary, stale that the lim G(x)Select Ihe correct choice below and necessary, Fll in...

Question

Use the graph of G shown to the right to find the limit Iimit does not exist necessary, stale that the lim G(x)Select Ihe correct choice below and necessary, Fll in Ihe answer box to complele your choiceIit G(x)The Ilit does not ex/st

Use the graph of G shown to the right to find the limit Iimit does not exist necessary, stale that the lim G(x) Select Ihe correct choice below and necessary, Fll in Ihe answer box to complele your choice Iit G(x) The Ilit does not ex/st



Answers

Use the following graph of $G$ to find each limit. When necessary, state that the limit does not exist.
$$\lim _{x \rightarrow 1^{+}} G(x)$$

Now I want to find my limit off G off X when my ex is tending to one minus. Okay, so this is the left hand limit off one. Okay, so if I take a look at the graph, my graph is looking something like this. This is my X is equal to one over here. This point is not in the domain or it isn't a domain. But the graph is actually going to look something like this. There is one point at welcome are two. There is one point at one. Commercials at this point is one comma two, and then this graph starts from one comma minus one. This graph against starts from one comma minus one. This is a rough estimate, and then it goes ahead. So if I look at my left hand side If I keep on walking from the left hand side, what is the value that I'm reaching? I am going to read the value off for this is actually for this is for if you take a look at the graph of the textbook, this is full. Okay, So what is happening is I'm going to reach for so when I say that my exist ending toe one minus. This limit is turning out to be four. And this is my answer.

Now I want to find limit. Ex limit off extends to three. Minus G off X. Okay. Now, what is the graphic trip? I can see that my graph that my craft had three is going to look something like this. Now, this is my three bomb A 03 bomb. A zero. Right. So we have We will solve the next three questions in this question itself. So this one is limit off, extending to minus three. Which means I'm walking from the left side from the three minus side. And where am I reaching when I am just before three. I'm reaching very close to zero. So I can say that my l s l which is nothing but limit extending toe three minus my limit extending to three minus G off X is equal to zero. Now, if I walk from the right hand side, if I keep walking, walking, walking from the right hand side and I tried to reach three that is on this side again, I'm reaching zero. So if I say that my RSL Okay, this is my r h l my right hand limit. That is limit extending to three plus g off X G off X. This is also turning out to be zero. Now I can see that my little and my article are both equal on finite. So I can say that my limit extends to three. Geo fix exists and is equal to zero. And this is my answer.

Now I want to find limit. Ex limit off extends to three. Minus G off X. Okay. Now, what is the graphic trip? I can see that my graph that my craft had three is going to look something like this. Now, this is my three bomb A 03 bomb. A zero. Right. So we have We will solve the next three questions in this question itself. So this one is limit off, extending to minus three. Which means I'm walking from the left side from the three minus side. And where am I reaching when I am just before three. I'm reaching very close to zero. So I can say that my l s l which is nothing but limit extending toe three minus my limit extending to three minus G off X is equal to zero. Now, if I walk from the right hand side, if I keep walking, walking, walking from the right hand side and I tried to reach three that is on this side again, I'm reaching zero. So if I say that my RSL Okay, this is my r h l my right hand limit. That is limit extending to three plus g off X G off X. This is also turning out to be zero. Now I can see that my little and my article are both equal on finite. So I can say that my limit extends to three. Geo fix exists and is equal to zero. And this is my answer.

In this function. Also in this question also, we have been given a graph of G affects where we have to find. Limit extends to minus two Dfx limit extends to minus two. G affects. Now, if I look at the graph that is given to me in the textbook, the graph will look something like this. The graph at minus two is going to look something like something like this. This is minus two. This is minus two and this point this point is around one. Right. So I can say that when I am walking from the left hand side, I try to find the left hand limit. I'm going to reach towards one. And when I am trying to reach from the right hand limit the right hand side. Still, I'm going to reach towards one so I can say that my limit extent to minus two minus Gee affects is equal to one. And this is also equal to my limit extends to minus to plus geo fix. Now, since both of them are finite and they're equal, I can say that my limit exists. This is my elegant my left hand Limited. This is my original right and level. Both of them exist, and both of them are finite quantities and they're equal. So I consider this is equal to one. This is my answer.


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