The sum of an infinite geometric series is a positive number S, and the second term in the series is 1 . What is the smallest possible value of S ?

**Answer Choices**

A. \dfrac{1+\sqrt{5}}{2}

B. 2

C. \sqrt{5}

D. 3

E. 4

The sum of an infinite geometric series is a positive number S, and the second term in the series is 1 . What is the smallest possible value of S ?

**Answer Choices**

A. \dfrac{1+\sqrt{5}}{2}

B. 2

C. \sqrt{5}

D. 3

E. 4