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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
12 cards
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Questions
12
Answers
1
Find the
limit
as x --> 3
-
, which means from the left.
3
-3
DNE -- The limit does not exist.
0
2
Find this
expression
.
2x2+4xh+2h2
4xh+2h2-h
4xh+2h2-2h
2xh+2h2-h
3
For which value does the limit as x --> k
exist
but is
not equal to
f(k)?
k = -5
k = +∞
k = -3
k = -1
4
Determine the
slope
of this line.
-2/4
-3/1
4/3
2/3
5
Calculate this
limit
.
-6x-3h
The limit does not exist -- DNE.
-9xh
-6x
6
Find the
limit
as x --> 1
-
, which means from the left.
DNE -- The limit does not exist.
0
-∞
+∞
7
What is the
limit
as x --> 0?
DNE -- The limit doesn't exist because it is not continuous.
1
-1
4
8
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.
9
Find the
limit
as x --> -4
+
, which means from the right.
3
1
-∞
-2
10
Find
f'(x)
for this function.
3+10x
7x+3
-4x+10x2
8x+3
11
Find this
limit
.
-3
6
DNE: The limit does not exist.
+∞
12
Find this
expression
.
x2+2xh+2h+h2-2x
x2+2xh+2h+h2
2xh+2h+h2
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