Find how many terms are needed to estimate with an error

Reference no: EM13186421

Consider function f(x)=ln(x+1).

I've found the remainder term Rn(z)=((-1)^n*(1+z)^(-n-1)*x^(n+1))/(n+1)

a) Find an upper bound for the absolute value of the remainder term when x>0 . It may help to remember that z is between x and 0.

b) Use this formula to find how many terms are needed to estimate with an error less than .

Reference no: EM13186421

Questions Cloud

What is the before-tax rate of return : Beasley World Industries purchases a new computing center for $100 million. They estimate a life of 5 years and a salvage value of $20 million. Beasley World Industries is allowed by the IRS to use Sum of Year's Digits depreciation. They also e..

What is the cost of the bench : A garden table and a bench cost combined. The garden table costs more than the bench. What is the cost of the bench?

How much larger will that amount be : After all of these taxes are paid, Vanessa will have a larger amount. How much larger will that amount be? (Round your answer to the nearest cent.)

Calculate the algebraic level of equilibrium output : This question considers a closed economy Keynesian model that is augmented to include transfers payments to consumers (Tr = Transfers) that increase consumers' disposable incomes and lower government savings. a) Suppose you had the following compo..

Find how many terms are needed to estimate with an error : Use this formula to find how many terms are needed to estimate with an error less than .

Find the volume v of water in the bowl : Find the volume V of water in the bowl. (Consider two cases: one in which the ball is not completely submerged and the other in which it is.)

Find magazine article highlights a perfectly competitive sit : When thinking about the theory of the firm, shirking, and principle-agent problems, we can find analogous situations in our personal lives. Make a Power Point presentation (for sharing with the class) two personal situations to illuminate this con..

What should be the size of each repayment : What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)

What should the price per pound of this mixture be : a grocer mixes together four pounds of peanuts costing $2 per pound with two pounds of walnuts costing $5 per pound. what should the price per pound of this mixture be?

User Account

All Pages