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Let yn(x)=x^2+(x^2)/(1+x^2)+(x^2)/(1+x^2...

Let `y_n(x)=x^2+(x^2)/(1+x^2)+(x^2)/(1+x^2)^2+...(x^2)/(1+x^2)^(n-1) and y(x)=lim_(x-oo)y_n(x)`.Discuss the continuity of `y_n(x)(n=1,2,3...n)and y(x)at x=0.`

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