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Hi guys, I been reading the blog section for a while now and I noticed quite a few hw threads and through them, i found out that there are alot of tl members in advanced physics and calculus so hopefully this one shouldn't be that difficult i hope.
(it says that u don't really need a calculator to answer these since almost all the answers need to be written out)
THE GRAPHS AND PART D
[URL=http://profile.imageshack.us/user/kp_chobo[/URL]
1. Use the graphs of f(x) and g(x) given to answer the following questions:
a. Is f[g(x)] continuous at x=0? Explain why or why not. (oh, and the teacher gave us kind of a hint for this one..he says for it to be continuous, there has to be a value, a limit, and both of those have to be equal. So basically these has to be in the explanation he says.)
b. Is g[f(x)] continuous at x=0? Explain why or why not.
c. What is the limit as x approchaes infinity of f[g(x)]? Explain your reasoning.
d. (check third link for this question)
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A: No, the limit from the left is 0 while the limit from the right is -1.
B: No, the limit from the left is 1 while the limit from the right is 2.
C: -1, as x -> infinity, g(x) -> infinity, f(g(x)) -> -1. Also, f(x) = -1 for x > 0.
D: -1/2, the limit from the left is 0+1=1, so the limit from the right = k * f(x) * g(x) = 1, and f(x) is -1, g(x) is 2
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u r stupid if u dont know this
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just wondering... isn't this what you do at the very beginning of calculus...?
even though it's a month before APs...?
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Yea, we're basically reviewing the past material to prepare for the exam that's coming up but this is the one section that I didn't understand too well that i need help with t.t
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EPT![[image loading]](http://img523.imageshack.us/img523/1318/graph1xk7.png)
![[image loading]](http://img523.imageshack.us/img523/3002/graph2nf6.png)
![[image loading]](http://img523.imageshack.us/img523/6013/qdlt8.png)
