Accumulation points and bolzano-weierstrass theorem

Assignment Help Mathematics
Reference no: EM13132482

Let S a subset of R be compact.

Prove that every infinite subset of S has an accumulation point in S

I think I am supposed to use the Bolzano-Weierstrass Theorem.

Reference no: EM13132482

Questions Cloud

Current provision for income taxes : Didde's effective income tax rate is 34% for 2011. What amount should Didde report in its 2011 income statement as the current provision for income taxes?
Find fuel efficiencies of each of the cars in a week : The two cars drove a combined total of 1450 miles, and the sum of their fuel efficiencies was 40 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Explain perkin and related reactions : Perkin and related reactions, There are numerous condensations that are closely related to the Perkin reaction
Bolzano-weierstrass theorem : Given S is a subset of R. Suppose S' (set of all accumulation points in S) = emptyset. Prove S is countable.
Accumulation points and bolzano-weierstrass theorem : Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
Determining chain breaking puzzle : A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
Venn diagrams-union-intersection and compliment : Draw a Venn Diagram to represent the relationship among E,L,S. Place the following five numbers on the Venn Diagram. 3 exponent 11, 6 exponent 2,11 exponent 6 10,000, 22 exponent
Reflexive-symmetric-antisymmetric : Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
Determining the binary relation : Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.

Reviews

Write a Review

Mathematics Questions & Answers

  Find the sum or difference as a product of sines or cosines

Find the sum or difference as a product of sines or cosines.

  Rational points on elliptic curve

Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.

  Application for use of ratios or proportions

Describe an application for the use of ratios or proportions and how it could be useful in your daily life?

  Condition of system of equations

Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?

  Discriminant of quadratic equation and parabola

How many solutions exist for aquadratic equation? explain. How do we determine whether the solutions are real or complex?

  Compute confidence interval for population mean

A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.

  Determine the total distance from the given particle

Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4

  Fundamental groups of moebius strip and cylinder

If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.

  Describe how you would calculate the odds of winning

Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?

  Plotting graphs and defining functions

I have found the number of deaths in the United States due to each medical condition in each of the following years.

  Mixed probability find the probability of correctly

Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers

  Linear equation in two variables

For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd