" 9."x^(2)+x+(1)/(sqrt(2))=0

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these

If f9x),={(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1)x,!=0,x=0, is continuous at x=0, find k

lim_(x rarr0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)

lim_(xto0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3) is

lim_(xrarr0) (sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)?

underset(x to oo)lim (sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1))

underset(x to oo)lim (sqrt(1+9x^(2))+sqrt(x^(2)-1))/(sqrt(1+9x^(2))-sqrt(x^(2)-1))=

Solve the following limits lim_(x rarr0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)