PowerPoint Silde Show - [LarCalcetF7e_09_08 - Computibility Mode] Example 5 - Applying the Strategies for Testing Series Determine the convergence or divergence of each series. a.
\sum_(n=1)^(\infty ) (n+1)/(3n+1)
b.
\sum_(n=1)^(\infty ) ((\pi )/(6))^(n)
c.
\sum_(n=1)^(\infty ) ne^(-n^(2))
d.
\sum_(n=1)^(\infty ) (1)/(3n+1)
e.
\sum_(n=1)^(\infty ) (-1)^(n)(3)/(4n+1)
f.
\sum_(n=1)^(\infty ) (n!)/(10^(n))
g.
\sum_(n=1)^(\infty ) ((n+1)/(2n+1))^(n)
12

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PowerPoint Silde Show - [LarCalcetF7e_09_08 - Computibility Mode] Example 5 - Applying the Strategies for Testing Series Determine the convergence or divergence of each series. a.

\sum_(n=1)^(\infty ) (n+1)/(3n+1)

b.

\sum_(n=1)^(\infty ) ((\pi )/(6))^(n)

c.

\sum_(n=1)^(\infty ) ne^(-n^(2))

d.

\sum_(n=1)^(\infty ) (1)/(3n+1)

e.

\sum_(n=1)^(\infty ) (-1)^(n)(3)/(4n+1)

f.

\sum_(n=1)^(\infty ) (n!)/(10^(n))

g.

\sum_(n=1)^(\infty ) ((n+1)/(2n+1))^(n)

12

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