By appealing to the graph of y 1 x, show that 1 3 1 n ln n 1 1 3 1 (n 1) ...

13 1n the lower approximate area 1 ...

By appealing to the graph of y = 1/x, show that + 1/3 + ... +

Question:

By appealing to the graph of y = 1/x, show that ½ + 1/3 + ... + 1/n < ln n < 1 + ½ + 1/3 + ... + 1/(n-1)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:13 AM

See More Questions

The line y = ax + b s called an oblique asymptote to the graph of y = f(x) if either or Find the oblique asymptote for F(x) = 2x4 + 3x3 - 2x - 4 / x3 - 1 lim LCr) (ax+ b)l o limo [f(x)-(ax + b)] = 0.
The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices. (a) y = f(x) + 8 (b) y = f(x + 8) (c) y = 1/3 f(x) (d) y = -f (x + 4) (e) y = 2 f(x + 6) 6 3 3 3...
The point (-12, 4) is on the graph of y = f(x). Find the corresponding point on the graph of y = g(x). (a) g(x) = 1/2 f(x) (b) g(x) = f(x - 2) (c) g(x) = f(-x)
Selected data on merchandise inventory, purchases, and sales for Jaffe Co. and Coronado Co. are as follows: Instructions 1. Determine the estimated cost of the merchandise inventory of Jaffe Co. on...
Lawyers are investigating the performance of some company directors and formulate the hypotheses Ho the directors are honest and Ha the directors are stealing from the company'. a. What does it mean...
If prices are held constant how will reductions in product or service quality affect a buyers perception of value? Discuss.
A shear layer between two fluids. Assume the following velocity distribution between two shear layers: \[v_{x}(y)=v_{0} \tanh (y / \delta)\] This is known as the Betchov and Criminale form. Calculate...
VSOP, Inc., has a number of divisions that produce liquors, malt beverages, and glassware. The Glassware Division manufactures a variety of bottles that can be sold externally (to soft-drink and...
2. A flour company has three factories or supply points (i=1,2,3) and must deliver their product to five customers or demand points (j=1,2,3,4,5). The production capacity at each factory is 50 tons...
Sherron, who is single, purchased a house to use as rental property on April 1, 2008, for $300,000. He moved into the house on June 1, 2018, and used it as a personal residence until August 1. 2019....
Find the length of the curve y = x2/4 - ln x. 1 x 2.
Prove Napier's inequality, which says that, for 0 In x1 - y -x
Calculate the derivative of the following functions. Vx + Vx X.
Suppose a routers drop policy is to drop the highest-cost packet whenever queues are full, where it defines the cost of a packet to be the product of its size by the time remaining that it will spend...
Suppose we have the forwarding tables shown in Table 3.19 for nodes A and F in a network where all links have cost 1. Give a diagram of the smallest network consistent with these tables. Table 3. 19)...
TCPs simultaneous open feature is seldom used. (a) Propose a change to TCP in which this is disallowed. Indicate what changes would be made in the state diagram (and, if necessary, in the...
Suppose P, Q, and R are network service providers, with respective CIDR address allocations C1.0.0.0/8, C2.0.0.0/8, and C3.0.0.0/8. Each providers customers initially receive address allocations that...
Suppose a workstation has an I/O bus speed of 1 Gbps and a memory bandwidth of 2 Gbps. Assuming DMA in and out of main memory, how many interfaces to 100 Mbps Ethernet links could a switch based on...
DEF Products Ltd manufactures and assembles one type of furniture unit. The following information is available for the year ended 31 August Year 7. The budgeted costs and the actual costs incurred...
Extend Algorithms 3.4 and 3.5 to include as output the first and second derivatives of the spline at the nodes.
Use Property 8 to estimate the value of the integral. a. b. c. tan x dx
Let f(x) = 0 if is any rational number and f(x) = 1 if is any irrational number. Show that f is not integrable on [0, 1]
Let f(x) = 0 if is any rational number and f(x) = 1 if is any irrational number. Show that f is not integrable on [0, 1]
If you weigh your portfolio in 80% risky and 20% risk-free t bills. The optimal risky portfolio consists of 40% in bonds and 60% in ETFs. How much will you have invested in t-bills, bonds, and etfs?
b. A 25-year mortgage loan of $184,000 at a 10 percent compound annual interest rate with equal installment payments at the end of each year.
What are Cloud-based Services? How does this differ to the common virtualization model?

By appealing to the graph of y = 1/x, show that + 1/3 + ... +

Question:

Step by Step Answer:

13 1n the lower approximate area 1 ...View the full answer

Calculus

Students also viewed these Calculus questions