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Monotonicity and Boundedness of Sequences
Worksheet
Grade Level
Calculus II
CAL2.113 Monotonicity and Boundedness of Sequences
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For n >= 1, let a_n = sqrt(n
2
+ 1) - n. Which classification is correct?
A
Increasing and unbounded above
B
Decreasing, bounded below by 0, and convergent
C
Increasing, bounded above by 1, and divergent
D
Not bounded because both square-root and n grow
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