Week 2

Question 1

R, Z, N, Q, I

Answer 1

Real numbers (all numbers on the number line), Integers (susbset 0,1,2), Natural numbers (subset 1,2,3), rational numbers (p/q where p,q are integers), irrational numbers (not rational)

Question 2

Between _ different rationals there exists another _

Answer 2

2, rationals

Question 3

A rational plus an irrational is

Answer 3

irrational

Question 4

rational X irrational

Answer 4

irrational

Question 5

Decimal expansions for rational numbers are

Answer 5

periodic

Question 6

sum of progressive squares of 1/10^3

Answer 6

1000/999

Question 7

periodic decimals into rational form. (say 0.8733 733 recurring)

Answer 7

1. take out non recurring numbers (8/10)
2. factor out recurring number (733e-4)
3. build repeating sum based on number of recurring digits (3, so 1/10e-3 recurring sum)
   4.calculate recurring sum, multiply by factored out number, add non recurring numbers.

Question 8

how to expand irrationals number by number

Question 9

Secant line

Answer 9

line that intersects a curve more than once

Question 10

limit as x approaches a only exists if

Answer 10

left and right hand limits are equal

Question 11

Vertical asymptotes at a

Answer 11

at least one limit at a from left or right or both is equal to plus/minus infinity

Question 12

limit as x approaches a is equal to f(a) when

Answer 12

t is a polynomial and a is in the domain