Calculus
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Boundless Calculus
Differential Equations, Parametric Equations, and Sequences and Series
Infinite Sequences and Series
Calculus Textbooks Boundless Calculus Differential Equations, Parametric Equations, and Sequences and Series Infinite Sequences and Series
Calculus Textbooks Boundless Calculus Differential Equations, Parametric Equations, and Sequences and Series
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus
Concept Version 7
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Comparison Tests

Limit Convergence Test

Limit Convergence Test

The ratio between $\frac{n+1}{2n^2}$ and $\frac{1}{n}$ for $n \rightarrow ∞$ is $\frac{1}{2}$. Since the sum of the sequence $\frac{1}{n}$ $\left ( \text{i.e., }\sum {\frac{1}{n}}\right)$ diverges, the limit convergence test tells that the original series (with $\frac{n+1}{2n^2}$) also diverges.

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    "Sequence."
    http://en.wikipedia.org/wiki/Sequence Wikipedia CC BY.

Related Terms

  • improper integral
  • integral test
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