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Determine which condition(s) will guarantee the convergence of the series below by the ratio test.

$$\sum { { a }_{ n } } $$

I.$\quad \lim _{ n\xrightarrow { } \infty }{ \left| \cfrac { { a }_{ n+1 } }{ { a }_{ n } } \right| } =0$

II.$\quad \lim _{ n\xrightarrow { } \infty }{ \left| \cfrac { { a }_{ n }+1 }{ { a }_{ n } } \right| } =1$

III.$\quad \lim _{ n\xrightarrow { } \infty }{ \left| \cfrac { { a }_{ n }+1 }{ { a }_{ n } } \right| } >1$

A

I only.

B

II only.

C

III only.

D

I and II only.

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