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{(1/sqrt(2))^n} from n=0 to infinity; is the series convergent or divergent? if convergent, why? and sum?

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The question ask to determine where as the said equation or phrase is a convergent or divergent and base on my calculation and my further research, the said equation is an convergence. I hope you are satisfied with my answer and feel free to ask for more if you have question 
User Moa
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