Purchase Solution

Reimann integrability using analysis

Not what you're looking for?

Ask Custom Question

I want to show that
lim as a goes to 0, of the integral from a to Pi of sin (nx)/ nx dx= integral from 0 to Pi
of f_n(x) dx, where f_n(x) = 1 when x=0 and f_n(x) = sin( nx)/nx when x does not equal zero.

This is equivalent to showing that for |a|<delta, we can find integral from a to Pi of sin (nx)/ nx dx - integral from 0 to Pi of f_n(x) dx|< epsilon

Purchase this Solution

Solution Summary

Reimann integrability using analysis is demonstrated.

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

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

Solving quadratic inequalities

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.