Algebraic Properties of Limits
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the limit of
e
x
e^x
e
x
as
x
x
x
approaches 0?
QUESTION
Evaluate:
lim
x
→
1
x
3
−
1
x
−
1
\text{lim}_{x \to 1} \frac{x^3 - 1}{x - 1}
lim
x
→
1
x
−
1
x
3
−
1
.
QUESTION
Find the limit:
lim
x
→
pi
sin
(
x
)
\text{lim}_{x \to \text{pi}} \text{sin}(x)
lim
x
→
pi
sin
(
x
)
.
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ANSWER
0. Direct substitution:
sin
(
π
)
=
0
\sin(\pi) = 0
sin
(
π
)
=
0
.
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