Limits
Limits Involving Infinity and Asymptotes
Rates of Change and Tangent Lines
Continuity
Mixed PreCalc Review
100
Determine lim {as x ->(-½)} 3x²(2x - 1)
-3/2
100

Determine the limit as x->2 of 1/(x-2)^2

infinity

100
Find the average rate of change of the function f(x)=x^(3) +1 over the interval [2,3].
19
100
Find the points of discontinuity for the function y= 1/(x+2)² . Identify the type of discontinuity.
x= -2; infinite discontinuity
100

The vocab word for a function of the form P(x)/Q(x), where P and Q are polynomials

What is rational?
200
Determine lim {as x -> 1} (x³ + 3x² - 2x -17)
-15
200

Determine the equation of the vertical asymptote of f(x)= (2x-1)/(x²-2x+1).

x=1

200
Find the average rate of change of the function f(x)= cot(x) over the interval [π/4, 3π/4].
-4/π
200
Find the points of discontinuity of the function 1/(x²+1) .
none
200
cos(pi/4)

what is sqrt(2)/2?

300
Determine lim {as x -> 1} (x-1)/(x²-1).
1/2
300

Find the equation of the vertical asymptote of f(x)= 1/x² .

x=0

300

The vocabulary word for a line that connects two points on a graph

secant

300

 The function f(x)= (x²-9)/(x+3) has a discontinuity at x=-3.  What type of discontinuity is it?

removable

300

The general form for point-slope equations

y-y1=m(x-x1)

or

y-b=m(x-a)


400
Determine lim {as x-> 0+} x/|x|
1
400

Determine the limit {as x approaches 0} of 1/x

does not exist

400

When position is graphed over time, the slope of the tangent line represents this concept.

What is instantaneous velocity?

400
Find all points of disconinuity in the function f(x)= (x+1)/(4-x²) .
x=-2 and x=2
400

The smallest whole number

What is 0?

500
Determine lim {as x-> 0} 1/x .
DNE
500

Determine limit {as x approaches pi/2 from the right} of tan(x)

negative infinity

500

The letters ROC stand for this

What is Rate of Change?
500

The equation that determines if a function is continuous at point c.

 f(c)= lim {as x ->c}

500

The angle in [0,2pi] that is equivalent to an angle of -1.5pi

pi/2
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