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Library
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Math
/
Calculus
/
Infinite Sequences, Series, and Taylor Approximation
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Infinite Sequences and Series, Using Calculus
/
Limits and Convergence of Sequences
/
Sequence Convergence: Properties and Computations
/
Limit Rules for Sequences
Practice problem
Limit Rules for Sequences
By
C
Cameron Montag
+1 contributors
Contributors
C
Cameron Montag
Alex Federspiel
lim
n
→
∞
(
n
2
+
3
n
−
5
3
n
2
−
2
n
⋅
12
n
3
+
2
n
2
−
7
−
n
3
−
5
n
2
−
5
n
−
4
)
=
\lim_{n \to \infty} \left(\frac{n^2 + 3n - 5}{3n^2 - 2n} \cdot \frac{12n^3 + 2n^2 - 7}{-n^3 - 5n^2 - 5n - 4} \right) =
n
→
∞
lim
(
3
n
2
−
2
n
n
2
+
3
n
−
5
⋅
−
n
3
−
5
n
2
−
5
n
−
4
12
n
3
+
2
n
2
−
7
)
=
Choose one answer
Option A:
A
-4
Option B:
B
-2
Option C:
C
0
Option D:
D
2
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