माना y(n)(x) =x^(2) + x^(2)/(1+x^(2)) +x...

माना `y_(n)(x) =x^(2) + x^(2)/(1+x^(2)) +x^(2)/(1+x^(2))^(2) +........x^(2)/(1+x^(2))^(n-1)` तथा `y(x) = lim_(n to infty) y_(n)(x )` है| `x=0` पर, `y_(n)(x)(n =1,2,3`,......n) एवं y(x) की सातत्यता की विवेचना कीजिए।

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The correct Answer is:

`y_(n)(x), x=0` पर सभी n के लिए संतत तथा `y_(n)(x), x=0` पर असंतत

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