Let {an) be a sequence of positive integers such that the digit '5' occurs in the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let {an) be a sequence of positive integers such that the digit '5' occurs in the decimal expansion of none of the terms of this sequence. Show that the series sigma(n=1, infinity) 1/an converges. Let {an) be a sequence of positive integers such that the digit '5' occurs in the decimal expansion of none of the terms of this sequence. Show that the series sigma(n=1, infinity) 1/an converges.
Expert Answer:
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Posted Date:
Students also viewed these mathematics questions
-
Let (xn) be a sequence of positive real numbers such that lim(x1/nn) = L < 1. Show that there exists a number r with 0 < r < 1 such that 0 < xn < rn for all sufficiently large n N. Use this to show...
-
Let (a) be a sequence of positive reals such that a, = 2 and lim +1, = 11-0 (a-an) is (Correct upto two decimal places)_ 1 Then the sum of infinite series
-
Let X1, X2, . . . be a sequence of i.i.d. random variables having the normal distribution with mean and variance 2. Let n = 1/n be the sample mean of the first n random variables in the sequence....
-
All organizations incur non value added costs. Eliminating or reducing non value added costs is the responsibility of managers. Using the Activity Based Management approach and focusing on the...
-
Sharon Kysar, the president of Shortt Toys Corporation, is trying to determine this years pay raises for the store managers. Shortt Toys has seven stores in the southwestern United States. Corporate...
-
The safety stock on an SKU is set at 220 units. The supplier says it can reduce the lead time from 8 to 6 weeks. What should be the new safety stock?
-
Find the free-vibration response of a viscously damped single-degree-of-freedom system with \(m=k=c=1\), using the central difference method. Assume that \(x_{0}=0, \dot{x}_{0}=1\), and \(\Delta...
-
Jackson Industries has borrowed $125,000 under a line-of-credit agreement. While the company normally maintains a checking account balance of $15,000 in the lending bank, this credit line requires a...
-
you must write YOUR professional biography. Highlight your work experience, education, volunteer work, and anything else that you consider relevant. Your introduction should be at least two...
-
A small rock with mass 0.10 kg is released from rest at point. A, which is at the top edge of a large, hemispherical bowl with radius R=0.60 m (the figure (Figure 1)). Assume that the size of the...
-
5. Jake is considering changing to the "extended repayment" plan on his student loans. If he does this, the loans will take 20 years to pay off instead of 10. a. Calculate his new monthly payments...
-
We regret to announce that we can offer the 50 percent discount only to the the first 25 buyers, so act quickly! Revise the following statements to make them more positive and courteous.
-
Which aspects of a business may be detailed by a BPMN diagram? Which may be detailed by a state machine diagram?
-
Develop a library based on the functions that we have considered in this book for computing properties of integers. Include functions for determining whether a given integer is prime; determining...
-
Using the St. Louis Fed website (FRED), chart the Merrill Lynch HighYield (speculative grade) Master II optionadjusted corporate bond spread. How has it behaved over the business cycle?
-
Prepare a flowchart on obtaining an injunction (or restraining order) against violence threatened by a husband against his wife in your state.
-
A structured walkthrough penetration test of a fictional company, Artemis, Incorporated (Artemis). A structured walkthrough is an organized procedure for a group of peers to review and discuss the...
-
Select the correct answer for each of the following questions. 1. On December 31, 20X3, Saxe Corporation was merged into Poe Corporation. In the business combination, Poe issued 200,000 shares of its...
-
Let f : [a, b] R. Show that f R[a, b] if and only if there exists 0 > 0 such that for every n N there exist tagged partitions with such that Pn and Q
-
Evaluate the following limits, where the domain of the quotient is as indicated. (a) (b) (c) (d) In(x+1) limina +1) (0, /2), (0, /2) ans (0, /2). lim Inco (0, /2), tan x-x linn (0, /2). 0,JT/2 ,
-
Show that if f : R R is continuous, then the set {x R : f(x) = k} is closed in R for each k R.
-
Consider the demand and supply curves in Exercise 13. DATA FROM EXERCISE13 Suppose that the domestic demand and supply for shoes in a small open economy are given by. where P denotes price and Q...
-
In the previous example, suppose that these are all of the entries in Freedonias BOP table. Calculate the value of errors and omissions. TABLE 11.2 Balance-of-Payments Example Merchandise exports...
-
Repeat Exercise 6 under the assumption that instead of a fall in demand for foreign exchange, there is an increase in supply. data from exercise 6 Credit entries in a countrys balance of payments...
Study smarter with the SolutionInn App