Math Problem Statement
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Math Problem Analysis
Mathematical Concepts
Sequences
Monotonicity
Limits of Sequences
Rational Functions
Formulas
\( a_n = \frac{1}{3n} \)
\( b_n = 2n - 2 \)
\( c_n = \frac{n^2}{n+2} \)
Limit formula \( \lim_{n \to \infty} \frac{p(n)}{q(n)} \)
Theorems
L'Hôpital's Rule
Degree Comparison of Polynomials
Suitable Grade Level
University Level
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