Team 2

Hi,

I have a question on limits at infinity, on page 87 Example 2a of the text;

p(x)=3x^4-6x^2+x-10

I understand that lim x->infinity = infinity but for lim x->-infinity = infinity...wouldn't the answer be -infinity?

-Jenny

That's because the end behavior of the function is a parabola because the first number is to the power of an even number. So it would go to infinity instead of going down to negative infinity. -Alex

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I have a question on removable discontinuities.

On the text book (pg. 106 # 83-84) it says "... because they disappear if we redefine f at a so that f(a) = lim x-> a f(x).

What does the it actually mean by "redefine f at a" ?

- Li-Chun

The functions are discontinuous so in order to make it continuous, we have to find the point on the function where it is discontinuous and change f(x) as x approaches a. -Jenny

I have a question on example 4 on page 90. I don't know how or why there should be two Horizontal asympotes and how you get both. I know how to get the first one but not the second one and why it's negative. -Alex

I think because x is infinite on both sides (x-> +/- infinity), that means g(x) reaches 'a' on both sides as well, so g(x) has both positive and negative horizontal asymptotes. -Jenny