Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai < aj }. Assume that S is infinite with elements i1 < i2 < i3..... Prove that {Ain} is a strictly increasing sequence of of {An}

Posted Date: 3/22/2012 1:42:09 AM | Location : United States

Ask an Expert

Related Discussions:- Real analysis, math, Assignment Help, Ask Question on Real analysis, math, Get Answer, Expert's Help, Real analysis, math Discussions

Write discussion on Real analysis, math
Your posts are moderated

Write your message here..

Related Questions

Find the integral of a function, We want to find the integral of a function... We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti

prove that 2a=b+c, If the roots of the equation (a-b) x 2 + (b-c) x+ (... If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans:    (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0

Example of linear equations, Example of Linear Equations: Solve the eq... Example of Linear Equations: Solve the equation 2x + 9 = 3(x + 4). Solution: Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation. 2x + 9 = 3(

Properties of exponential form, Properties 1.   The domain of the logar... Properties 1.   The domain of the logarithm function is (0, ∞ ) .  In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative numbe

Explain multiples, Explain Multiples ? When a whole number is multiplie... Explain Multiples ? When a whole number is multiplied by another whole number, the results you get are multiples of the whole numbers. For example,  To find the first four mult

Correlation and regression, Correlation and Regression Correlation ... Correlation and Regression Correlation CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of

Additional rule- rules of probability, Additional Rule- Rules of Probabilit... Additional Rule- Rules of Probability Additional rule is used to calculate the probability of two or more mutually exclusive events. In such circumstances the probability of t

Mr, Probability of A is 85% Probability of B is 45% Probability A and B 56%... Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?

Finding the center and the radius of a circle, x2+y2 r=12 x2+y2 r=12

#proving identity, sinX/cscX+secX/cosX=1 sinX/cscX+secX/cosX=1