Transcript 1.2 * 1.3 Quiz Review
1.2 – 1.3 Quiz Review
AP Calculus
t
Use a table of values to estimate the limit.
lim 0
t
2 9 3
t
2
Use the graph to find the limits.
x
lim 3 (
x
lim 2 ( tan tan
x
)
x
) 5 4 3 2 1
y
–5 –4 –3 –2 –1 –1 1 2 3 4 5 –2 –3 –4 –5
x
Give the value of the expression using the graph of f(x) shown. If it does not exist explain why.
x
lim 3
f
(
x
)
x
lim 2
f
(
x
)
x
lim 3
f
(
x
) lim
x
1
f
(
x
)
f
( 3 )
f
( 2 )
f
( 3 )
f
( 1 )
True/False – If false, explain.
If the limit of f(x) as x approaches c does not exist, then f is undefined at x = c.
If f is undefined at x = c, then the limit of f(x) as x approaches c does not exist.
Find the limits analytically.
x
lim
x
lim 4 2 3
x
2 5
x x
2 2 5
x
2 2
x
3 2
t
2
x
lim 0 lim
h
0 ( 3
t h
) 1 3 1
h
Find the Limits Analytically.
lim 0 2 sin
x
2
x x x
lim 0 sec
x
1
x
sec
x
Evaluate the limits lim
x
c
lim
x
c f
(
x
)
g
(
x
) 3 5
x
lim
c
[ 7
x
lim
c f f
(
x
)] (
x
)
g
(
x
)
x
lim
c
[
f
(
x
)
g
(
x
)]