Limits

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Both 2 and 3 i dont understand

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regarding 2, I dont understand what it means by pi/2^+
same thing with pi/2^-
|dw:1442798477466:dw| If you look up any tangent graph, you will see that it approaches +inf at x just below pi/2, and approaches -inf at x just above pi/2. These are the respective limits of tan(x) at x=pi/2- and pi/2+. The definition of a limit if it exists, is that if lim x->pi/2- of tan(x) \(equals\) lim x->pi/2+ of tan(x), than lim x->pi/2 of tan(x) = the value of the limits. If limx->pi/2+ does not equal to lim x->pi/2-, then the limit does not exist.
so the negative and the positive sign are letting me know that?....
pi/2- means approaching from the left, or a value slightly below pi/2. Look at the graph, at a point just on the left of pi/2, the function tends to +inf. Pi/2+ means approaching from the right, or a value slightly above pi/2. The graph shows that immediately to the right of pi/2, the function tends to -inf. To do limits involving vertical asymptotes, it would be good to develop a habit and ability to draw a graph of the given function, as I have done for you. This way, the limits will be clear.
I am still not understanding
So the negative and positive only let me know which side x is approaching
I have this already graphed on my ti 84 so i see the graph
Still need help guys
How does the +/- affect the equation?
The +/- does not affect the equation or the graph, but it affects 1. whether the limit exists at a point x=c 2. what is the limit of the function at x=c,....if the limit exists. For example, if the left limit (i.e. limit x->c- ) equals +inf, and the right limit (i.e. limit x->c+ ) equal -inf. What can you say about the limit at x=c? Is it +inf, or -inf? Since we cannot answer the question logically, we say that the limit at x=c does NOT exist. On the other hand, if both "one-sided limits" have the same value, say +inf, then we say that the limit x=c exists, and equal to +inf.

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