Use the Limit Comparison Test with the harmonic series to show that the series a n
Question:
Use the Limit Comparison Test with the harmonic series to show that the series Σ an (where 0 < an < an-1) diverges when is finite and nonzero.
Transcribed Image Text:
lim na 81x n- n
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (5 reviews)
an lim lim na By given con...View the full answer
Answered By
Sigei Kipngeno
I am a professional writer with more than 2 years of writing experience. I will always deliver a grade A paper with zero plagiarism . Thanks in advance.
4.70+
175+ Reviews
311+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
use the Limit Comparison Test to prove convergence or divergence of the infinite series. 37.39.41.43.45 37. 38. 39. 1 3. n (n 1) 40. 41. 42. 43. 44. n=2 45. n=3 n /n +1 nd +2n? +1 n=1 1 n 3n +...
-
Use this Taylor series to show that for any 0 We found that the function f(x) = 1/1 - x is equal to the Taylor series Tf(x) = l + x + x2 + x3 + x4 + ... when 0 9y-= 1 E9(1-4
-
Use multiplication of series to show that et (0 < Izl < 1). z(z? +1) +..
-
The following sample data have been collected from two independent samples from two populations. Test the claim that the second population median will exceed the median of the first population. a....
-
Describe five ways in which companies may use a database.
-
This section looks at US recessions over the past 60 years. To work out this problem, first obtain quarterly data on US output growth for the period 1960 to the most recent data from www.bea.gov....
-
Describe various defenses and remedies available for nonperformance of a contract.
-
You were recently hired as a manager for international operations of Despoyle Chemical Corporation, a major manufacturer of dyes, fertilizers, and other industrial chemicals. Despoyle has chemical...
-
Williams Gear makes and sells three types of computer laptop sleeves: leather, fabric, and plastic. Management is trying to determine the most profitable mix. Sales prices, demand, and use of...
-
Messer Company purchased equipment for $24,000. The company is considering whether t o determine annual depreciation using the straight-line method or the declining-balance method at 150 percent of...
-
In Exercises determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. 5 = 8+. n
-
In Exercises find the sum of the convergent series. n=0 1 1 2n 3n 1
-
At December 31, 2022, Suffolk plc had an estimated warranty liability of 105,000 for accounting purposes and 0 for tax purposes. (The warranty costs are not deductible until paid.) The effective tax...
-
Green light \((\lambda=510 \mathrm{~nm})\) shines through two slits separated by \(2.30 \times 10^{-6} \mathrm{~m}\). The resulting diffraction pattern is cast on a screen \(450 \mathrm{~mm}\) away....
-
A red laser beam \((\lambda=650 \mathrm{~nm})\) is sent through a double slit to a screen that is \(400 \mathrm{~mm}\) wide and \(1.00 \mathrm{~m}\) away from the slits. (a) If the separation...
-
Violet light \((\lambda=400 \mathrm{~nm})\) passing through a diffraction grating for which the slit spacing is \(6.0 \mu \mathrm{m}\) forms a pattern on a screen \(1.0 \mathrm{~m}\) away from the...
-
Near the center of a diffraction pattern, adjacent maxima are separated by a distance of \(20 \mathrm{~mm}\). The diffraction grating is \(0.200 \mathrm{~m}\) from the screen and has a slit spacing...
-
A sheet of glass \(\left(n_{\text {glass }}=1.5 ight)\) is coated with a \(90.6-\mathrm{nm}-\) thick layer of magnesium fluoride \(\left(n_{\text {coaring }}=1.38 ight)\) to prevent reflection in the...
-
What is the mass in grams of 1 molecule of H2O?
-
The slopes of the tangents at the points where the curve y = x2 - 4x intersects the X-axis is 1) 1 2) +2 3) +3 4) +4
-
Graph the functions f(x) = x 1/3 and g(x) = x 1/4 . Find all points where the two graphs intersect. For x > 1, is f(x) > g(x) or is g(x) > f(x)?
-
Find the domain and range of the functions f(x) = x 1/7 and g(x) = x 1/4 .
-
Graph the equations y = x 2 and x 2 + y 2 - 7y + 8 = 0. At what point(s) do the curves intersect?
-
You join NASA. As you announce at the press conference, you did this world already and kind of crushed it, so you're pretty psyched to get off this "stink-planet" and see what's out there. Your...
-
Using the map and annual volumes shown next to each location, what is the BEST location for a central warehouse that can be used to service all of the locations? Location Volume A 700 B 400 C 400 D...
-
A team of midwives travel to rural villages in their van to provide care and services to pregnant women. They use a laptop that is not password protected. Their clinical notes are written in a word...
Study smarter with the SolutionInn App