question_answer

If \[\mathbf{Q=}\frac{\mathbf{3}}{\sqrt{\mathbf{3}}}\mathbf{+1+}\frac{\mathbf{1}}{\sqrt{\mathbf{3}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{3}}\mathbf{+}......\]\[\infty \]then find the value of \[\mathbf{Q}-\frac{\mathbf{1}}{\mathbf{Q}}\]

A) \[\frac{3\sqrt{3}-1}{6}\]                                                            

B)  \[\frac{7\sqrt{3}+11}{6}\]

C) \[\frac{3\sqrt{3}+1}{6}\]                                                           

D)  \[\frac{7\sqrt{3}-11}{6}\]

E) None of these