Purchase Solution

Series converges

Not what you're looking for?

Ask Custom Question

Show that the series sun sign over it infinity sign and below it n=1 of 1/n^p converges if and only ifp>1

Purchase this Solution

Solution Summary

This is a proof regarding a convergent series.

Solution Preview

We observe that if p>0 then, f(x)=x^(-p) is positive, continuous, and decreasing on [1, inf[. ...

Purchase this Solution

Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts