Find the real number iteration scheme

Assignment Help Mathematics

Reference no: EM13200934

Consider the real number iteration scheme x_n+1 = f(x_n) for n = 1, 2, ... with x_1 given. In addition, suppose there is a number 0

a) Show lx_n+1 - x_nl

b) From this, conclude {x_n}_n is Cauchy.

Reference no: EM13200934

Questions Cloud

What is the natural rate of the unemployment : What is the relationship between potential output and the natural rate of unemployment If the economy currently has a frictional unemployment rate of 2 percent, structural unemployment of 2 percent, seasonal unemployment of 0.5 percent.

Solve utilizing the five-step problem-solving process : Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. If an object is propelled upward from ground level with an initial velocity of 92.5 feet per second, its height h in feet t seconds later

To advertise the health benefits of bicycling : Suppose that bicycles are produced by a perfectly competitive, constant cost industry. Which will have a larger effect on the long-run price of bicycles a government program to advertise the health benefits of bicycling.

How would such adjustments affect the slope of the aggregate : discuss why this might happen. Suppose that labor and management agree to adjust wages continuously for any changes in the price level. How would such adjustments affect the slope of the aggregate supply curve

Find the real number iteration scheme : Consider the real number iteration scheme x_n+1 = f(x_n) for n = 1, 2, ... with x_1 given. In addition, suppose there is a number 0

Define are consumers deriving any consumer surplus : Compared to the prices if $30 and $25, what can you say about the marginal valuation that consumers place on the 300th shirt , the 700th shirt and the 1200th shirt they might buy each year. With diminishing marginal utility, are consumers deriving ..

Find the probability that a particular child is a girl : Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family

What is the equilibrium output of the good : The long-run supply curve for a good is a horizontal line at a price $3 per unit of the good. The demand curve for the good is QD = 50-2P. then what is the equilibrium output of the good.

Define the volume of wood in a tree varies jointly : The volume of wood in a tree varies jointly as the height and the square of the girth. Girth is the distance around. If the volume is 38.4 cubic feet, when the height is 30 feet and the girth is 4 feet,

User Account

All Pages