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Limits and Derivatives
Limits and Derivatives
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This addresses #math #limits and #derivatives for pre-calculus students. #precalculus
Flashcards
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Questions
16
Answers
1
Find this
expression
.
To infinity and beyond! Nothing is beyond MATHguide.com.
x2+2xh+2h+h2-2x
2xh+2h+h2
x2+2xh+2h+h2
2
Calculate this
limit
.
The limit does not exist -- DNE.
-6x-3h
-6x
-9xh
3
Find
f'(x)
for this function.
3+10x
-4x+10x2
8x+3
7x+3
4
Find the
limit
as x --> 1
-
, which means from the left.
DNE -- The limit does not exist.
-∞
+∞
0
5
What is the
limit
as x --> 0?
4
-1
1
DNE -- The limit doesn't exist because it is not continuous.
6
Find this
limit
.
MATHguide.com has no limit.
The limit does not exist, written as "DNE."
-1
1
7
Which statement is
correct
concerning this function?
As x --> -∞, f(x) --> +∞.
The function is continuous for all x-values.
As x --> +∞, f(x) --> -∞.
The function is not continuous at x = 0.
8
Determine the
slope
of this line.
-2/4
2/3
-3/1
4/3
9
Find this
limit
.
+∞
6
DNE: The limit does not exist.
-3
10
Find this
expression
.
4xh+2h2-h
2xh+2h2-h
2x2+4xh+2h2
4xh+2h2-2h
11
Find this
limit
.
-∞
The limit does not exist, which is written as "DNE."
∞
0
12
Find this
limit
.
+∞
DNE -- The limit does not exist.
-∞
0
13
For which value does the limit as x --> k
exist
but is
not equal to
f(k)?
k = -3
k = -5
k = -1
k = +∞
14
Find the
limit
as x --> -4
+
, which means from the right.
-∞
-2
1
3
15
Find the
limit
as x --> 3
-
, which means from the left.
3
0
-3
DNE -- The limit does not exist.
16
Find this
limit
.
0
-∞
+∞
1
