7*sqrt(1+3x-x^(2))

int(1)/(sqrt(1-(3x-7)^(2)))

sin^(-1)(2x sqrt(1-x^(2)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

underset( x rarr 1 )("lim")( root ( 3)(7+x^(3))- sqrt( 3 +x^(2)))/( x-1)

If n be the degree of the polynomial sqrt(3x^(2)+1){(x+sqrt(3x^(2)+1))^(7)-(x-sqrt(3x^(2)+1))^(7)} then n is divisible by

sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

lim_(x rarr1)(3sqrt(7+x^(3))-sqrt(3+x^(2)))/(x-1) is equal to

If x=(1)/(2)(sqrt(7)+(1)/(sqrt(7))) ,then , log_(27)((sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))) is equal to

Show that Lt_(xto0)(sqrt(7+x)-sqrt(7+x^(2)))/(sqrt(7-x^(2))-sqrt(7-x))=1

lim_(x rarr1)((7+x^(3))^((1)/(3))-sqrt(3+x^(2)))/(x-1)=