Convergence, Mathematics

Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0.

(a) If (xn) converges to x, show that (|axn + b|) converges to |ax + b|.
(b) Give an instance , with brief justi cation, where (|xn|) converges but (xn) does not.
(c) If (|xn|) converges to 0, elustratethat (xn) converges to 0.

In (a) you need to use only the de nition of convergence and no other limit theorems.

Posted Date: 3/21/2013 3:11:19 AM | Location : United States







Related Discussions:- Convergence, Assignment Help, Ask Question on Convergence, Get Answer, Expert's Help, Convergence Discussions

Write discussion on Convergence
Your posts are moderated
Related Questions
Im having trouble with this word problem: The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have be

Changing The Base Of The Index For comparison reasons if two series have different base years, this is difficult to compare them directly. In such cases, it is essential to ch

25 cookies have to be divided equally among 4 children.hw can we use elps to answer this question?

1. Let , where  are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distribut

Please,I Want to know and study for stability on predictor -corrector for numerical integration method

1. In an in finite horizon capital/consumption model, if kt and ct are the capital stock and consumption at time t, we have f(kt) = ct+kt+1 for t ≥ 0 where f is a given production

The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a

How do I find the density of a square of a brownian motion .

i have discovered a formula for finding the radius at any point of the graph have i done a good job

what is the difference between North America''s part of the total population and Africa''s part