- #1

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here's an example

f:= 3^n/n^3;

if i take the limit the sequence goes to infinity.

does it diverge becuase the limit is not zero or can the limit be something other than zero and it still converge?

- Thread starter arctic_girl4
- Start date

- #1

- 1

- 0

here's an example

f:= 3^n/n^3;

if i take the limit the sequence goes to infinity.

does it diverge becuase the limit is not zero or can the limit be something other than zero and it still converge?

- #2

HallsofIvy

Science Advisor

Homework Helper

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However in this case the sequence "goes to" infinity, as you say, and infinity is not a number. The sequence diverges. Many textbooks would say this sequence "

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