Quick calc limit question
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Quick calc limit question

[From: ] [author: ] [Date: 12-06-13] [Hit: ]
......
what is the limit as x approaches a number if it goes to infinity from one end and negative infinity from the other? for example sec^2(x)/tanx as x approaches pi over two

-
sec(x)^2 / tan(x) =>
(1 + tan(x)^2) / tan(x) =>
1/tan(x) + tan(x)^2 / tan(x) =>
cot(x) + tan(x)

x goes to pi/2-
0 + inf

x goes to pi/2+
0 - inf

So, since the limits from either side approach different values (and since we're undefined at pi/2), then there is no limit

-
If the limit from the left is not equal to the limit from the right, then the limit does not exist.
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keywords: limit,Quick,question,calc,Quick calc limit question
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