Help me fast so that I will give good rating....... 4. (a) Find the limits if it exists, if it does not explain why.(1) lim ("(ii) limn 00(b) (i) Let R be the radius of convergence of the power series an(z – z.)" and suppose thatn=0ant1limn 00L exists, for some real number L, show that R = }.%3Dan(ii) Find the radius of convergence of the seriesE(z - ni)", hence, find the region aboutz = ni where the series converges.(c) Let z and w be none zero complex numbers. Prove that | z+ w - | z – w = 4Re(zw).

Answered: Image /qna-images/answer/06194cde-c0bf-477b-bfe6-30c35838717f.jpg

Answered: the limits if it exists, if it does not…

Math

Advanced Math

the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Imagine you score a x=54 on an exam. What set of parameters would give you the highest grade? A: ?= 52 and ?=2 B: ?= 50 and ?=8 C: ?= 50 ?=2 D: ?=52 and ?=8
Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: Sunday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 18,27,34,37,49.55,63,61,48,30,27,17,17,15,26,46,25 4) Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X x (x-)²2 n-l Sunday's Standard Deviation Table 7 (x-2)² n-1 2). Sketch Wednesday's Bell Curve with 30 Sketch Sunday's Bell Curve with 30 (x-7)²= x-F (x-7) 2 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?
Hi there, Working on this quiz for class would love some help! Hopefully these picture works.... Thanks!!
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a =0.05. Correlation coeff, r: 0.966175 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H1: p (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= O B. There are two critical values at r= + Is there sufficient evidence to support the claim…
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 20 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? A circle is inside a square.The radius of the circle is increasing at a rate of 5 meters per minute and the sides of the square are decreasing at a rate of 1 meter per minute.When the radius is 5 meters, and the sides are 16 meters, then how fast is the AREA outside the circle but inside the square changing?