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From the graph above, please answer this limit question by selecting the appropriate response from Ihe list below:Jin-ftx) =lin f(x) =443-f6) =lim-flx) = Jim,f(x) =...

Question

From the graph above, please answer this limit question by selecting the appropriate response from Ihe list below:Jin-ftx) =lin f(x) =443-f6) =lim-flx) = Jim,f(x) =DNB

From the graph above, please answer this limit question by selecting the appropriate response from Ihe list below: Jin-ftx) = lin f(x) = 443-f6) = lim-flx) = Jim,f(x) = DNB



Answers

Determine each limit. Refer to the accompanying graph of $y=f(x)$ when it is given. Do not use a calculator. $$\lim _{x \rightarrow 7^{-}} 100$$

Okay, so we want to find a falling limit this time. We have that X is approaching zero from our right hand side. So we're gonna take the positive of our absolute value. That is, we're gonna have the positive X over X and I'm looking Council out are like terms, and we've seen our oil off with a negative one.

Do we want to find her falling limit? I know that here we have the limits as X approaches zero for my left hand side. So let's recall, if we have the limitless We have two cases. That is, if you have the limits as X approaches, zero your two cases. And this is when, um, exes lesson girl. And that's what we currently have. Since we have X is approaches over, my love, we're gonna take the negative of X over X on And, um, when X is greater than or equal to do. All that is when we're approaching zero from the right, you have positive X over X. Okay, so let's put that in for sometimes I or negative case. So that's minus X over X. Well, we can counsel out our common terms when we see that we're left with a negative one

So we have this little material here. This is a sketch, right? And this is this heart of some of values, right? We're guessing this limit as X approaches infinity right of X squared over Tuesday eggs. And I guess, in this one, So if actually sketched this graph, this is what you see here, right? And we were just put in certain X values to make sure that we have something like this, right, So you can do it on your own is just calculated work. Start from 01 Teoh, put in values. You get to 50 you get him 100 right? So if you look at what has happened, you see that as we going forward and for a father or father or reducing the functional values right, so is reduces from one. And then it gets Teoh zero at some point. Right? So at him, at 100 you can see that the limit here, the functional value is zero. Right? So we can guess that the limit as executions and 50 here is zero. And so that is a guess for this table. And then the curve is also show you something with that right? you can see that the current is like that. And then it continues like this. And then it is hidden the origin again at some point. Right? So at some point, this car was gonna be zero, right? So for the curve, you can also conclude that those limits here is actually zero, right. That is our guest beers on the table and also the curve, right?

Our goal for this problem is to find the value of the function by evaluating the limit. We're gonna be looking at the limit as X costume, Kennedy X squared over two to the X. So we're going to consider the function F of X equals X grade over GTX. And then we're gonna take the limit as X goes to infinity. So we're going to plug in increasingly large numbers Such as 10, 2000 and we see it's getting increasingly small. Um does that mean for the limit as X goes to infinity is going to be um limit as X goes to infinity is going to be zero? We see it's going to be zero primarily because we can also graph this and zoom out and we see that as X goes to infinity, our functions going to zero. So that is going to be our final answer.


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