Final

Question 1

Iim(theta —> 0) sin(theta)/theta=?

Answer 1

1

Question 2

Continuous function

Answer 2

F(a) exists
Lim as x —> a f(x) exists
Lim as x —> a f(x)=f(a)

Question 3

Horizontal a symptoms

Answer 3

1. If power of num.<denom. Then y=0
2. If power of num.=denom. Then y=num coef./denom coef.
3. If power of num.>denom. Then there is none

Question 4

Lim —>infinity

Answer 4

1. Degree of num.=degree of denom. —> ratio of leading coefficients
2. Degree of num.>degree of denom —> +_ infinity
3. Degree of num<degree of denom —> 0

Question 5

Tanteant line

Answer 5

Y-y(null)=slope at certain point(x-x(null))

Question 6

Normal line

Question 7

One to one functions

Answer 7

If every element in the range corresponds to only one element in the domain (horizontal line test)