Help me study for my Calculus class. Im stuck and dont understand.
Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
(a)lim x ? 2? f(x)
(b)
lim x ? 2+ f(x)
(c)
lim x ? 2 f(x)
(d)
f(2)
(e)
lim x ? 4 f(x)
(f)
f(4)
For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
(a)lim x ? ?3? h(x)
(b)
lim x ? ?3+ h(x)
(c)
lim x ? ?3 h(x)
(d)
h(?3)
(e)
lim x ? 0? h(x)
(f)
lim x ? 0+ h(x)
(g)
lim x ? 0 h(x)
(h)
h(0)
(i)
lim x ? 2 h(x)
(j)
h(2)
(k)
lim x ? 5+ h(x)
(l)
lim x ? 5? h(x)
3.
For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
(a)lim t ? 0? g(t)
(b)
lim t ? 0+ g(t)
(c)
lim t ? 0 g(t)
(d)
lim t ? 2? g(t)
(e)
lim t ? 2+ g(t)
(f)
lim t ? 2 g(t)
(g)
g(2)
(h)
lim t ? 4 g(t)
4.
Sketch the graph of the function.f(x) =
3 + x
if x < ?1
x2
if ?1 ? x < 1
2 ? x
if x ? 1
Use the graph to determine the values of
a for which
lim x ? a f(x)
does not exist. (Enter your answers as a comma-separated list.)
a =
5.
Sketch the graph of an example of a function f that satisfies all of the given conditions.lim x ? 0? f(x) = 1,lim x ? 0+ f(x) = 2,f(0) = ?1
6.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.lim x?0
tan(4x)
tan(5x)
7.
[/9 Points]
DETAILS
SCALCET8 2.2.009.
MY NOTES
For the function f whose graph is shown, state the following. (If an answer does not exist, enter DNE.)
(a)lim x ? ?7 f(x)
(b)
lim x ? ?3 f(x)
(c)
lim x ? 0 f(x)
(d)
lim x ? 6? f(x)
(e)
lim x ? 6+ f(x)
(f) The equations of the vertical asymptotes.
x
=
(smallest value)
x
=
x
=
x
=
(largest value)
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