For which numbers is this convergence?

Context: Undergrad
Thread starter venke
Start date Jan 22, 2008
Tags

Convergence Numbers

Join the discussion

Registration is free. Ask a follow-up in this thread, or start your own.

1 reply · 2K views

venke

Thread starter
Jan 22, 2008

Hi,

I need to know for which nubers of x the serie is convergence.

Is this possible whith d'Alombert? I have tried, but with no result.

Greets,
venke

Discussion

Physics news on Phys.org

Sound waves do double duty, carrying and protecting quantum information
Simulations reveal asymmetric diffusion of magnetic skyrmions through an off-center gate
Using plutonium to probe the universe: Magneto‑ν experiment advances dark matter and neutrino research

mathman

Science Advisor

Homework Helper

Jan 22, 2008

Your series is an infinite geometric series with a=x/(x+1). This series converges for |a|<1. You should be able to find what is the range of x for convergence.

For which numbers is this convergence?

Discussion

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

Undergrad Best way to numerically solve this system of equations?

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

High School Why does multiplying by 1/sin(x)tan(x) give limit of 1 instead of 2?

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Graduate Leibniz Rule Videos on Digital-University

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

For which numbers is this convergence?

Discussion

Similar threads

Undergrad Uniform convergence and derivatives -- difference between two theorems?

Undergrad Uniform convergence of family of functions with continuous index

Comp Sci Which number was used as a pivot?

For which numbers is this convergence?

11.8.4 Find the radius of convergence and interval of convergence

Undergrad Convergence of sequences of functions with differing domains?

Graduate How Can We Ensure Convergence in Function Approximations Beyond Taylor Series?

Undergrad Uniform convergence of f∘Γ to ζ in conformal mapping proof

Undergrad Newton-Raphson Method With Complex Numbers

What conditions guarantee convergence of Newton's method for approximating pi/2?