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

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 "y=arccot(x^(2)+1),0

If y=csc^(-1)x,x>1, then show that x(x^(2)-1)(d^(2)y)/(dx^(2))+(2x^(2)-1)(dy)/(dx)=0

(x+(1)/(x))^(2)-(x-(1)/(x))^(2)=? 1) x^(2)+(1)/(x^(2)) 2) 4 3) 2x^(2)+(1)/(2x^(2)) 4) 2x^(2)+4+(1)/(2x^(2))

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

Find the LCM and the HCF of the polynomials (x^(2)-1)(x^(2)+x-2) and (x^(2)+2x+1)(x^(2)+2x-3)5 Verify if the product of the L.C.M and the HCF is equal to the product of polynomials.

If f:(0,oo)rarr N and f(x)=[(x^(2)+x+1)/(x^(2)+1)]+[(4x^(2)+x+2)/(2x^(2)+1)]+[(9x^(2)+x+3)/(3x^(2)+1)]...+[(n^(2)x^(2)+x+n)/(nx^(2)+1)],n in N." Then lim_(n rarr oo)((f(x)-n)/((f(x))^(2)-(n^(3)(n+2))/(4)))=l, then the value of l^(10)-10^(l) is (where [.] denotes G.I.F and N set of natural numbers)