Eh, the last post was better. Anyway, for the most part, I understand limits very well. There's just one or two things that elude me:
1. The first would be the limit of the basic trig functions (sin x, cos x, tan x, csc x, sec x, cot x) as x-> positive or negative infinity. The problem is that unlike most functions, who reach a specific number or positive or negative infinity, the trig functions don't. They simply alternate between [-1,1] (sin x and cos x), (negative infinity,-1] and [1, infinity), (csc x and sec x), or (negative infinity, infinity) (tan x and cot x). Does that mean that the limit simply does not exist?
2. #13 and #14 on page 92 also confuse me. I know what they're asking and how to generally find what they're asking for, but when I try to find it algebraically, I get something that can't be simplified. Because they're absolute value problems, you can figure out the slope from the graph, but how would you find it algebraically?They are:
Find the slope of the curve at the indicated point:
13.f(x)=absolute value (x) at: a)x=2 b)x=-3
14.f(x)=absolute value (x-2) at x=1
Hm....yea, that's about it, I don't have a third thing: that's it. If anyone has answers to these questions, I would greatly appreciate it.
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I had the same problem with numbers 13 and 14, and I tried plugging in numbers instead, but I think there's a way to solve it algebraically.. This is a question for Ms. Hwang!
ReplyDeleteHmm for the first thing you mentioned, take Sinx graph for example. It fluctuates between 1, 0, and -1 right? Well when your talking about a limit to infinity that + or - 1 isnt significant so it is to say that Sin x is zero when x approaches infinity, do you agree?
ReplyDeleteDAh! this is the third time trying to post. I won't type it again. see notecard.
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