Find the radius of convergence and interval of convergence

Assignment Help Mathematics
Reference no: EM13180977

a) find the taylor series for f(x) = sin(x) centered about point a= pie/3

b) Find the radius of convergence and the interval of convergence of this taylor series

c) prove that f(x)= sin(x) is equal to this taylor series in its interval of convergence

Reference no: EM13180977

Questions Cloud

Compute the activation energy for the souring of milk : Raw milk sours in 4.0 hours at 28 degrees celcius but takes 48 hours to sour in a refrigerator at 5 degrees celcius. Calculate the activation energy for the souring of milk?
How many coins in all did she have : Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
Market for online legal services as monopolistical competion : How can providers of legal services differentiate their products? How does Nolo.com attempt to do this?3. Search the web for at least three additional online legal firms and compare the services these firms offer (a quick bullet list will suffice..
What is the speed of the current : The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. The speed of the Holiday in still water is 15 km/h, what is the speed of the current.
Find the radius of convergence and interval of convergence : Find the radius of convergence and the interval of convergence of this taylor series.
What is the maximum height the rocket reaches : a toy rocket is shot into the air at an initial velocity of 10 meters per second from a height of 4 meters The equation giving the height h of the rocket above the ground at time t is h=-49tsquared +10t+4. To the nearest tenth, what is the maximum..
Find average temperature during period from 6 am to 6 pm : Find the average temperature during the period from 6 am to 6 pm.
Calculate steady-state capital-labor ratio for each country : Consider 2 countries, Avataria and Twilightia, which can be described by the Solow model. Avataria has a capital-labor ratio that is initially twice as big as that of Twilightia, but neither country is yet in a steady state. Both countries have th..
Differences between individualist and collectivist cultures : Describe how differences between individualist and collectivist cultures are likely to manifest themselves in the processes of mate selection, career development, and political organization

Reviews

Write a Review

Mathematics Questions & Answers

  Equation of straight line

The instructions are as follows: write each equation in slope-intercept form and then find the slope and y-intercept.

  Find the probability of black card

Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.

  Evaluate the maximum height of ball

Use the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation

  Integration by parts and motion in particle

A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.

  Linear programming problem

A paper mill produces two grades of paper viz.,x and y - formulate this as a linear programming problem.

  Explain which of the three measures of central tendency

Explain which of the three measures of central tendency (mean, median, mode) are appropriate to use for each of the two cases below. Do not work out the problem. Only express your answer and explain why you chose the answer.

  What is the diameter of the wheel

Boris races his bicycle for 264 feet . A wheel of his bicycle turns 44 times as the bicycle travels this distance. What is the diameter of the wheel?

  Inverse of an n by n matrix using gaussian elimination

What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination and write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination.

  Important information about graph parabola

Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.

  Determining partially ordered sets

A set A is call a partially-ordered set if there is a relation R on A such that R is reflexive and transitive. If A is any set, prove that the power set P(A) is a partially ordered set under the relation "is a subset of".

  Describe the appropriate sampling distribution model

Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.

  Explain total expectation- poisson and negative binomial

What is the expected number of tosses it will take to stop the experiment? Explain Total Expectation- Poisson and Negative Binomial

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd