- #1

penroseandpaper

- 21

- 0

- Homework Statement
- Convergent

- Relevant Equations
- Convergent and divergent

A sequence is made up of two sequences

a

The problem asks for the solver to work out if it's converging or diverging, and find a limit if possible.

My first thought was to write both over a common denominator and then divide through by the dominant term; this implied converging with a limit of 1 for the positive values of n.

But if the reciprocal rule is instead applied, both are null sequences which therefore tend to infinity.

It's obviously divergent, so I guess the lesson is don't mess with the original question?

Thank you

a

_{n}=(n^2)/(n+2) - (n^2)/(n+3)The problem asks for the solver to work out if it's converging or diverging, and find a limit if possible.

My first thought was to write both over a common denominator and then divide through by the dominant term; this implied converging with a limit of 1 for the positive values of n.

But if the reciprocal rule is instead applied, both are null sequences which therefore tend to infinity.

It's obviously divergent, so I guess the lesson is don't mess with the original question?

Thank you

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