chapters 2-3

Question 1

What is the precise definition of a limit?

Answer 1

Let f(x) be defined on an open interval about c, except possibly at c itself. We say that limit of f(x) as x approaches c is the number l, and write
lim f(x) = L
X->C, If for ever number £>0, there exists a corresponding number d>0 such that
| f(x) -L | < £ whenever 0< | x-c | < d.

Question 2

(A+b)2 equals?

Answer 2

A2+ 2ab + b2

Question 3

how to find Q ??

Answer 3

(X+h, sub x+h into the given equation)

Question 4

How to find tangent line?

Answer 4

Point slope form.

Y-y1= m(x-x1)

Question 5

Lim SINfeta equals?

Answer 5

0

Question 6

Lim COS feta equals?

Answer 6

1

Question 7

SINfeta/feta equals?

Answer 7

1

Question 8

The definition of a slope of a curve

Answer 8

If there is a tangent line to the curve at P, a line that grazes the curve like the tangent to a circle, it would be reasonable to identify that slope of a tangent line as the slope of a curve at P.

Question 9

How to find the vertical asymptote?

Answer 9

See the denominator to 0, then solve

Question 10

Horizontal asymptotes

Answer 10

Greatest coefficient is the same

Question 11

(A-b)(a+b) equals ??

Answer 11

A2-b2

Question 12

What is the average rate of change formula?

Answer 12

F(x1+h) - f(x1)
———————
H

Question 13

How to find the slope of a curve at a point?

Answer 13

Find Q.
This will give you your secant slope
Then you use point slope formula to find the tangent line equation

Question 14

Prime notation

Answer 14

F1

Question 15

Denotation

Answer 15

Dy
——
Dx

Question 16

What is the formula for the AROC of y=f(x) over [x1,x2]?

Answer 16

F(x2-f(x1)
—————-
X2-x1

Question 17

Derivative formula

Answer 17

Lim. F(x+h)-f(x)
H-> 0. ——————
H

Question 18

How to find the tangent line?

Answer 18

Use point slope. Y-y1=m(x-x1)