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I need to show that this sequence converges to 0:

http://img238.imageshack.us/img238/139/77726816.gif [Broken]

Here is my work:

http://img238.imageshack.us/img238/2570/eqlatexlimnrightarrowin.gif [Broken]

There is n factors in the numerator and in the denominator. We can pair each factor one with another:

http://img142.imageshack.us/img142/2570/eqlatexlimnrightarrowin.gif [Broken]

As n goes to infinity the first terms of this limit go to 0, and thus the limit is = 0.

Is my proof acceptable? Can someone show me another way to do it?

Thank you

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# Show that this sequence converges to 0

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