question_answer

If x be very small compared with unity such that \[\frac{\sqrt{1+x}+\sqrt[3]{{{(1-x)}^{2}}}}{\sqrt{1+x}+(1+x)}=a+bx,\] then the values of a and b are

A)  \[a=1,\,\,b=\frac{5}{6}\]                      

B)  \[a=1,\,\,b=-\frac{5}{6}\]

C)  \[a=1,\,\,b=\frac{5}{3}\]                      

D)  \[a=1,\,\,b=-\frac{5}{3}\]

E)  None of these