x^(2)+(1)/(x^(2))+2-2x-(2)/(x)

HCF of x^(2)-(1)/(x^(2)),x^(2)-2+(1)/(x^(2)) and x^(2)-(1)/(x^(2))-3x+(3)/(x)

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.

simplify (2x-(1)/(2x))^(2)-(2x+(1)/(2x))(2x-(1)/(2x))

int((1-x^(-2))/(x^(1/2)-x^(-1/2))-(2)/(x^(3/2))+(x^(-2)-x)/(x^(1/2)-x^(-1/2)))dx

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

Number of real solution(s) of equation (2^(x)-1)x^(2)+(2^(x^(2))-2)x=2^(x)-1

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) = underset(n rarr oo)(lim) y_(n) (x) . Discuss the continuity of y_(n)(x)(n = 1, 2, 3....n) and y(x) "at x" = 0

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 rarr oo)y_(n)(x) Discuss the continuity of y_(n)(x)(n=1,2,3dots n) and y(x)atx=0