Read the following statements carefully and choose the correct option. Value of \[\left( 1-\frac{1}{2} \right)\,\left( 1-\frac{1}{3} \right)\,\left( 1-\frac{1}{4} \right).....\left( 1-\frac{1}{x} \right)\] is equal to \[\frac{1}{x}\]. (ii) If \[2=x+\frac{1}{1+\frac{1}{3+\frac{1}{4}}}\] then value of x is \[\frac{21}{17}\] (iii) Value of \[999\frac{1}{7}+999\frac{2}{7}\,+999\frac{3}{7}+999\frac{4}{7}\]\[+999\frac{5}{7}\,+999\frac{6}{7}\] is 5999.

• A. and (ii) are true while (iii) is false.
• B. and (iii) are true while (ii) is false.
• C. (ii) and (iii) are true while (i) is false.
• D. Neither (i) and (ii) nor (iii) is true.