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347 exam 2
math 347 uiuc
8
Mathematics
Undergraduate 2
03/24/2013

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Cards

Term
If f and g bounded, is f+g?
Definition
Yes |f| must be less than or equal to M1
|g| must be less than or equal to M2

|f+g| <= M1+M2=M
Term
If f and g bounded, is fg?
Definition
Yes same principle as last one

|f| <= M1*M2=M
Term
if f+g is bounded, are f and g bounded?
Definition
Not always

let f(x)=x and g(x)=-x

|f+g|=0
Term
if fg is bounded are f and g?
Definition
Not always again

let f(x)=x
and g(x)=1/x when x doesnn't equal zero
and g(0)=0
Term
bijection
Definition
surjective and injective
Term
Surjection (and not injection)
Definition
[image]
Term
Injection and not surjective
Definition
[image]
Term
monotone series
Definition
means an is constantly increasing or decreasing
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