sum_(x=1)^(10)(((x+3)^(2010))/((x^(100)+1)(2x^(101)+1))=

lim_(xrarroo) (sum_(r=1)^(10)(x+r)^(2010))/((x^(1006)+1)(2x^(1004)+1))=

lim_(xrarroo) (sum_(r=1)^(10)(x+r)^(2010))/((x^(1006)+1)(2x^(1004)+1))=

lim_(x rarr oo)sum_(r=1)^(n)((x+r)^(2010))/((x^(1006)+1)(2x^(1004)+1))=

lim_(x->oo)sum_(r=1)^n (x+r)^2010/((x^1006+1)(2x^1004+1))=

k=lim_(xtooo)[(sum_(k=1)^(1000)(x+k)^(m))/(x^(m)+10^(1000))] (mgt101) is -

If sin^(-1) x +sin^(-1)y +sin^(-1) z =(3pi)/(2) , then find the value of x^(100) +y^(100) +z^(100) -(9)/(x^(101)+y^(101)+z^(101)) .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) then the value of x^(100)+y^(100)+z^(100)-(3)/(x^(101)+y^(101)+z^(101))

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 then the value of x^(100)-y^(100)-z^(100)-12/(x^(101)-y^(101)-z^(101))=

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3 pi)/(2) ,then the value of x^(100)+y^(100)+z^(100)+(12)/(x^(101)+y^(101)+z^(101)) is equal to

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) the value of x^(100)+y^(100)+z^(100)-(9)/(x^(101)+y^(101)+z^(101)) is