• Shuffle
Toggle On
Toggle Off
• Alphabetize
Toggle On
Toggle Off
• Front First
Toggle On
Toggle Off
• Both Sides
Toggle On
Toggle Off
• Read
Toggle On
Toggle Off
Reading...
Front

### How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

Play button

Play button

Progress

1/7

Click to flip

### 7 Cards in this Set

• Front
• Back
 Limit Let f:D  R be a function with D in R, xo in R is an accupoint of D. Moreover, let L be in R. We say f(s) has a limit L at xo iff the following holds: -For every positive real number E, there exists a positive real d, such that whenever x is in D\{xo}, with |x-xo|=an+1 for all positive integers n. Monotone a sequence is either increasing or decreasing Summary of proofs with lim arithmetic Take arbitrary sequence that converges to x0 Use thm 16lim(fxn)=A Use some other rule for lim seq Use thm 16 in other direction Summary of proofs with convergent arithmetic Set up convergent definition of an and bn with N1 and N2 (For multiplication add |an|<=M bounded) (For division |bn|>c by lemma) Define E 1. For addition-E=E/2 2. For multiple-E’=E/(/(|B|+M)>0 3. For division-E=|B|E*c N=max(N1,N2) and then put everything together Will use triangle inequality