Help on this please! Let F be the function in the graph shown below. Note: You c

Question

Help on this please!

Let F be the function in the graph shown below. Note: You can click on the graph to make it larger. Evaluate each of the following expressions. Enter DNE if the limit does not exist. limx rightarrow -1 - F(x) = limx rightarrow -1 + F(x) = limx rightarrow -1 F(x) = F(-1) = limx rightarrow 3 F(x) = F(3) = Note: You can earn partial credit on this problem. preview Answers Submit Answers You have attempted this problem 2 time. Your overall recorded score is 22%. You have unlimited attempts remaining.

Explanation / Answer

graph limits are very easy forget the open and closed dots for the limits its all about the lines. When something says to find the limit as x approaches a number what its asking is where do the lines from both sides of that number approach. So lets look at an easy one the limit as x approaches 2. We see its an easy strait line from the right side of x=2 the line goes toward y=2 and from the left side of x=2 the line goes toward y=2. Since both sides head towards y=2 the limit is 2.

Now remember when I said to forget the open and closed dots when it comes to limits and to only focus on the lines for lmits? Lets show an example of this. Lets look at the limit as x approaches -1. REMEMBER this is a limit we don't care about the dots only the lines. So the line on the right side of x=-1 is heading to y=0and the line of the left side of x=-1 is heading toward y=0 therefore the limit is 0.

Now that we got that strait lets look at incidents where the llimit does not exist. For a limit to not exist the left and right side lines of the approaching x number must not equal each other. So lets look at the limit as x = 1. We see that on the right side of x=1 the line goes to y=3 and on the left side of x=1 the line goes to y=2. Since the two lines on either side do not approach the same y the limit does NOT exist.

Now we can split the sides to make the limit exist. If the problem had said what is the limit at x= 1 from the right side (indicated with a + sign) then that would be 3 or if it had said what is the limit of x=1 from the left side (indicated with a - sign) that would be 2....but without an indication of which side the limit does not exist.

So going off this as you said the guy above has allthe correct answers except c&g

Cshould be 0

G should be does not exist

I hope this helps you understand this

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