ahmed sobhy Posted January 3, 2012 Posted January 3, 2012 what is the limit of a^n as n reaches infinity if a <-1, and WHY ?
ydoaPs Posted January 3, 2012 Posted January 3, 2012 (edited) deleted Edited January 3, 2012 by ydoaPs
DrRocket Posted January 3, 2012 Posted January 3, 2012 what is the limit of a^n as n reaches infinity if a <-1, and WHY ? I asssume that you are working over the set of real numbers, and that n is a natural number. The sequence that you propose has no limit. In fact the absolute value grows without bound, and the sign oscillates depending on whether n is even or odd.
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