The series $x + x^{1 + \frac{1}{2}} + x^{1 + \frac{1}{2}+ \frac{1}{3}} +...$ is convergent if
(A) $x>e$
(B) $x
(C) $x<1/e$
(D) $x>1/e$
I think the answer is C, but I could not determine the condition... how to solve it. Plz help.
The series $x + x^{1 + \frac{1}{2}} + x^{1 + \frac{1}{2}+ \frac{1}{3}} +...$ is convergent if
(A) $x>e$
(B) $x
(C) $x<1/e$
(D) $x>1/e$
I think the answer is C, but I could not determine the condition... how to solve it. Plz help.