- I am confused on how to find the limit of a function as it approaches a vertical asymptote. The way i solve such problems is by plugging in numbers in order to get an idea of how the graph looks like. Then, i can easily see the right- and left- hand limits of a certain point. I do not think this is how to properly solve it, for it is too time consuming. I was wondering if anyone knew how to solve such problems quickly and easily ??
- I am a little unclear on how to find the limit of a sine or cosine function. I am not sure whether the limit is simply positive and negative one, or just positive one or just negative one.
- I do not completely understand how to find out if a discontinuity is removable or non-removable. An example of such a problem would be # 25 from homework g1. I also do not know how to find values of x for which a function is discontinuous. An example of such a problem would be part e on question 18 of the test on chapters 2.1-2.3.
- I do not understand how to solve #3 from the test on chapters 2.1-2.3.
Wednesday, December 9, 2009
I've Reached My Limit !!
Limits seem to perplex me a bit. I understand the basic concept of limits, however, i do not understand certain small details.
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what i remember is that as a graph approaches its vertical asymptote.. the limit is either positive or negative infinity. right???
ReplyDeleteI had a problem with number 3 on the test as well. can you look at my blog?? i tried solving it but im not sure if i am doing it the right way or not.
:)
1. Nope, sorry, no other way. You were doing it right. =)
ReplyDelete2. If you want to take the limit of sin x, cos x, tan x, or any other trig function BY ITSELF as x --> infinity, there is NO LIMIT because of those oscillations. It's only when it's (sinx)/x when the limit exists.