If the sum of the series $1 + \frac{2}{x} + \frac{4}{x^2} + \frac{8}{x^3} + \dots \infty$ is a finite number,then
- A$x > 2$
- B$x > -2$
- C$x > \frac{1}{2}$
- DNone of these
Explore More
Similar Questions
Write the seventh term of the following $GP$: $6, 12, 24, 48, \ldots$
Medium
View SolutionThe sum of the first three terms of a $G.P.$ is to the sum of the first six terms as $125: 152$. Find the common ratio of the $G.P.$ (in $/5$)
Difficult
View SolutionSum the series $51 + 50 + 49 + \ldots + 21$.
Medium
View SolutionIf $x, 2x + 2, 3x + 3$ are in $G.P.$,then the fourth term is
Easy
View Solution$\frac{1^3 + 2^3 + 3^3 + 4^3 + \dots + 12^3}{1^2 + 2^2 + 3^2 + 4^2 + \dots + 12^2} = $
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo