a counterexample
Not what you're looking for?
1. (a) Prove that if = ¥ then = 0
(b) Give a counterexample to show that the converse (if = 0 then
= ¥) is false.
2. Give an example of a sequence {an} satisfying all of the following:
{an} is monotonic
0 < an < 1 for all n and no two terms are equal
=
Purchase this Solution
Solution Summary
A counterexample is exemplified.
Solution Preview
1. (a) Prove that if = ¥ then = 0
Proof: Suppose Let be given. Then there exists a positive integer such that Since there exists a positive ...
Purchase this Solution
Free BrainMass Quizzes
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.
Probability Quiz
Some questions on probability
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.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts