Selecting Procedures for Determining Limits
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the limit:
lim
x
→
−
∞
x
2
+
2
x
+
1
x
2
\text{lim}_{x \to -\text{∞}} \frac{x^2 + 2x + 1}{x^2}
lim
x
→
−
∞
x
2
x
2
+
2
x
+
1
.
QUESTION
Find the limit:
lim
x
→
∞
5
x
3
−
x
2
x
3
+
3
x
2
\text{lim}_{x \to \text{∞}} \frac{5x^3 - x}{2x^3 + 3x^2}
lim
x
→
∞
2
x
3
+
3
x
2
5
x
3
−
x
.
QUESTION
Find the limit:
lim
x
→
0
e
x
−
1
x
\text{lim}_{x \to 0} \frac{e^x - 1}{x}
lim
x
→
0
x
e
x
−
1
.
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ANSWER
1. This is the derivative of
e
x
e^x
e
x
at
x
=
0
x = 0
x
=
0
.
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