diverging sequences - sum/product converging

hello,

I am supposed to find two diverging sequences whose sum and products converge, and whose elements are all >= 0. Anyone who could give me a hint? (-1)^n and (-1)^(n+1) works execpt for that fact that not all elements are >= 0.

thank you -
oz.

Quote:

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Originally Posted by ozfingwe

hello,

I am supposed to find two diverging sequences whose sum and products converge, and whose elements are all >= 0. Anyone who could give me a hint? (-1)^n and (-1)^(n+1) works execpt for that fact that not all elements are >= 0.

thank you -
oz.

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I am not sure if this is what you mean. You should be more specific.

I'm sorry for the confusion, the sequences must hold to this:

an >= 0 and bn >= 0 for all n...

oz.