Connecting Multiple Representations of Limits
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
State the condition under which
lim
x
→
c
f
(
x
)
\text{lim}_{x \to c} f(x)
lim
x
→
c
f
(
x
)
exists.
QUESTION
What is the limit of
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
as
x
x
x
approaches 0 from the left?
QUESTION
What is the limit of
f
(
x
)
=
e
x
−
1
x
f(x) = \frac{\text{e}^x - 1}{x}
f
(
x
)
=
x
e
x
−
1
as
x
x
x
approaches 0?
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ANSWER
1. Standard exponential limit: derivative of
e
x
e^x
e
x
at x=0.
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