Calculus AB AP
Worksheet Limits V
Name
Overall Limits
Evaluate each of the following limits:
2
1. lim(4 x 7) =
x 3
5( x 1)
=
x 1
x +1
2
2. lim
3. Given
x + 7, x 3
f ( x) = 2
x 4, x > 3
find
a ) lim
Calculus AB AP
Worksheet Limits IV
Name
Trigonometric Limits
Notes:
When evaluating a trigonometric limit, you need to recall various trig function
values and the review material we completed in this
Calculus AB AP
Limits Worksheet I
Name
Remember:
The first plan of attach in evaluating a limit is to:
Plug-in the number that it is approaching. Be careful, because this
number for x could be a verti
Calculus AB AP
Worksheet Limits II
Evaluate each of the following limits:
1. lim [ x ] =
x 3.5
2. xlim [ x ] =
7+
Name
x
4 3x 2 , x > 3
f ( x) =
2
15. Given
5 x x 13, x 3
4. lim [ x ] =
x 7
5. Given
Calculus AB AP
Worksheet Limits III
Name
Notes:
When you are finding the limit as x goes to infinite or negative infinite, you are
really finding out how what is the functions end behavior. We need to
Calculus AB AP
Related Rates II
Name
Notes:
1. The related rate is how one or more variables are changing with respect to
time, t.
2. This is found by taking the chain rule to find , or , or .
3. Iden
Calculus AB
Hill
Name:_
Review Continuity / Differentiablity
Determine if the given functions are (a) continuous or (b) differentiable at the given x
value.
3 x 2 4 x + 5, x < 2
1. f(x) = 2
2 x + 1,
1. Below is the graph ofj'(x), the derivative off(x)' Answer each of the following.
1
t
r
b ,.
a) Find aD critical valnes for L
What is the x value whenf(x) has a maximum value.
c) What is the x value