" 3."(2x+1)/(sqrt(2x^(2)+x-3))=(1)/(3)

sqrt(x^(2)+2x-3)<1

If y=(1)/(3)"log" (x+1)/(sqrt(x^(2)-x+1))+(1)/(sqrt(3))"tan"^(-1)(2x-1)/(sqrt(3)) , show that, (dy)/(dx)=(1)/(x^(3)+1)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

If [3(3sqrt(x)-(1)/(3sqrt(x)))]^((1)/(3))=2 then find the value of 3sqrt(x)+(1)/(3sqrt(x))

Solution of (2+sqrt(3))^(x^(2)-2x+1)+(2-sqrt(3))^(x^(2)-2x-1)=(4)/(2-sqrt(3))are(A)1+-sqrt(3),1(B)1+-sqrt(2),1(C)1+-sqrt(3),2(D)1+-sqrt(2),2

lim_ (x rarr oo) (2sqrt (x) + 3x ^ ((1) / (3)) + 5x ^ ((1) / (3))) / (sqrt (3x-2) + (2x-3) ^ ((1) / (3)))

If (sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))=3 then x=1)sqrt((2)/(3)2)sqrt((1)/(3))3)sqrt((2)/(5))sqrt((3)/(5))