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flexastexas
 one year ago
Limits
flexastexas
 one year ago
Limits

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flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0let me upload the pic jst a sec

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0Both 2 and 3 i dont understand

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0regarding 2, I dont understand what it means by pi/2^+

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0same thing with pi/2^

mathmate
 one year ago
Best ResponseYou've already chosen the best response.5dw: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.

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0so the negative and the positive sign are letting me know that?....

mathmate
 one year ago
Best ResponseYou've already chosen the best response.5pi/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.

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0I am still not understanding

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0So the negative and positive only let me know which side x is approaching

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0I have this already graphed on my ti 84 so i see the graph

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0Still need help guys

flexastexas
 one year ago
Best ResponseYou've already chosen the best response.0How does the +/ affect the equation?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.5The +/ 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 "onesided limits" have the same value, say +inf, then we say that the limit x=c exists, and equal to +inf.
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