if xn is a sequence of positive reals then yn=xn/(1+xn) is convergent or not convergent.

Question : If xn is a sequence of positive reals then yn=xn/(1+xn) is convergent or not convergent. Answer : Given xn is a sequence of positive reals and sequence \[y_n=\frac{x_n}{1+x_n}\]For the first option We can write \[x_n=\frac{y_n}{1-y_n}\]If yn is convergent…

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