Unit 01

Question 1

Relative Magnitude

Answer 1

only with infinity
big to little
exponential growth
polynomials
logarithms
exponential decay

big on top = infinity
big on bottom = 0

exp growth is when exponent is x
polynomial is a number to the power

Question 2

problems with infinity

Answer 2

FIRST THING TO DO IS FACTOR OUT BIGGEST POWER

deg of num=deg on denom = K
deg of num greater deg on denom = plus or minus infinity
deg of num less than deg of denom = 0

REMEMBER IF TAKE ABSOLUT VALUE OF X FROM SQUARE ROOT - WHATEVER SIGN OF INFINITY IS SIGN OF X

Question 3

equation of slope of tan line

Answer 3

fb-fa / b-a

a less than x less than b

fx-fa / x-a

Question 4

equation of tan line

Answer 4

y= y1+m(x-x1)

Question 5

limit laws

Answer 5

lim as x approaches a (k time f of x) can move k to front and multiply

x approaches 3 7x move 7 to front, = 21

power of just limit parenthesis, can be power of anwser

LIMIT LAWS ONLY WORK IF limit of f(x) and g(x) EXIST

IF ASKED A TWOSIDED LIMIT, LOOK AT LEFT AND RIGHT SIDE OF THAT SPECIFIC EQUATION AND IF SAME ANWSER THEN ITS THAN IF NOT DNE

Question 6

continuity

Answer 6

left of limit = f(x) = right of limit

Question 7

when given limit..

Answer 7

PLUG IN FIRST =

0/0 = factor, synthetic, binomial expansion, rationalize radicals with equation, fractions in fraction

nonzero/0 = either + or - infinity, or DNE plug in either side of number

Infinity is factor greatest power out