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Questions: (In reverse order)
1)What is the function d∝?
2)Why are you allowed to change the variable of integration?
3)Is ∝ a function?
4)Is there a way to show integration is the reverse of differentiation?
5)What is a weight function?
6)What's the difference between L(P, f) and L(P, f, ∝)?
7)If f is bounded, is f always integrable?
8)If f has infinitely many discontinuities on an infinite interval is it not integrable?
9)Is Taylor's theorem an estimate of higher derivatives?
10)Does Taylor's theorem only tell you higher derivatives at a single point or an interval?
11)What does def 24 tell us?
12)What do thm's 5.9 and 5.10 tell us?
13)When is pointwise continuity useful?
14)What are running bumps?
15)How can a set be both open and closed?
16)What is the minimum number of elements needed in an interval?
17)How is lim x→as different from lim x→a
18)Can you take the limit of a distance function?
19)Does p have to be an element of E? as its a limit point
20)If f(I) is continuous and not strictly increasing, is the inverse of f still continuous?
21)What is a partial sum?
22)For the comparison test to the series have to be similar?
23)If lim an=a does the infinite series an converge?
24)How do you prove a set is compact?
25)Can.a set be closed and bounded but not compact?
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