[" 1."((x))/(x+2)((|x|^(2))/(a)-[(x)/(a)]^(2))((a<0)," where "[x]" denotes the greatest integer less than or ")/(x)],[[" is equal "10," (C) "a^(2)," (D) "-a^(2)]]

f(x)=(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+(x^(2))/((1+x^(2))^(3))+............oo is f(x) continuous at the origin? Give reasons for your answer.

If x is a cube root of unity other than 1 then (x+(1)/(x))^(2)+[x^(2)+(1)/(x^(2))]^(2)+…+[(x^(12))+(1)/(x^(12))]^(2)=

If f(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+...+(x^(2))/((1+x^(2))^(n))+... then at x=0,f(x) has no limit (b) is discontinuous is continuous but not differentiable (d) is differentiable

(x^(2))/(x+1)+((x+1)^(2))/(x^(2))-(x)/(x+2)+(x+1)/(x)-(7)/(4)=p^(2)

If (ax-1)/((1-x+x^(2))(2+x))=(x)/(1-x+x^(2))-(1)/(2+x) then a=

If (ax-1)/((1-x+x^(2))(2+x))=(x)/(1-x+x^(2))-(1)/(2+x) then, a=

The sum of the 10 terms of the series (x+(1)/(x))^(2)+(x^(2)+(1)/(x^(2)))^(2)+(x^(3)+(1)/(x^(3)))^(2)+

Find the sum of (x + (1)/(x))^(2), (x^(2) + (1)/(x^(2)))^(2), (x^(3) + (1)/(x^(3)))^(2) , ……..to n terms

Find the sum to n terms of the following series: (x+(1)/(x))^(2)+(x^(2)+(1)/(x^(2)))^(2)+(x^(3)+(1)/(x^(3)))^(2)+(x^(4)+(1)/(x^(4)))^(2)+