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Mathematics 11 Online
OpenStudy (anonymous):

Use the given graph to determine the limit, if it exists.

OpenStudy (anonymous):

A. -1 B. 7 C. -3 D. Does not exist.

OpenStudy (anonymous):

I think the answer is -3. @amistre64

OpenStudy (anonymous):

@texaschic101

OpenStudy (amistre64):

i cant open doc files

OpenStudy (amistre64):

still bad, cant log on to your account lol is there a reason you cant just type or draw it on here?

OpenStudy (amistre64):

screenshot may be best then

OpenStudy (anonymous):

I had a screenshot on the doc.

OpenStudy (amistre64):

open paint, paste it in there, and save as jpg, then attach

OpenStudy (anonymous):

OpenStudy (anonymous):

Can you see this?

OpenStudy (amistre64):

yes

OpenStudy (amistre64):

now tell me what your thoughts are ....

OpenStudy (amistre64):

how do we read \(\lim_{(x\to 3^{-})}\), what does it mean?

OpenStudy (anonymous):

The coordinate graph is shown with a downward sloped line crossing the y axis at the origin that ends at the open point 3, -1

OpenStudy (anonymous):

limit approaches negative 3

OpenStudy (amistre64):

not quite, the negative sign looks like an exponent here we read it as: the limit as x approaches 3 {from the negative side} or the limit as x approaches 3 {from the left}

OpenStudy (amistre64):

so everything else on the graph to the right of x=3, is eye clutter and useless to us; erase it what is the value of y that the graph is approaching as x gets closer to 3 {from the negatve side}?

OpenStudy (anonymous):

Is it y=-1

OpenStudy (amistre64):

yes :) we are approaching, sneaking up on, going to attack the point, (3,-1)

OpenStudy (amistre64):

y=-1 is good

OpenStudy (anonymous):

So, the limit is -1 not -3

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