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**alice 9****Member**- Registered: 2010-10-06
- Posts: 6

find convergent sequence in (0,1) that dosnot converge to a point in (0,1]

give example

Xn is bounded sequence and Yn is convergent sequence but XnYn doesnot converge

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

For the first one, I'm not sure such a sequence exists.

The second one is easy enough though.

One example would be Xn = (-1)^n, Yn = 1.

Why did the vector cross the road?

It wanted to be normal.

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