Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Sequences, Series, and Multivariable Calculus - Handwritten Solution | M 408D, Exams of Mathematics

Material Type: Exam; Class: SEQ, SERIES, AND MULTIVAR CALC; Subject: Mathematics; University: University of Texas - Austin; Term: Fall 2016;

Typology: Exams

2015/2016

Uploaded on 12/07/2016

athena-co
athena-co 🇺🇸

5

(4)

11 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf3
pf4

Partial preview of the text

Download Sequences, Series, and Multivariable Calculus - Handwritten Solution | M 408D and more Exams Mathematics in PDF only on Docsity!

M408D (*) Fall 2016 Test2. (1-2) Name .: SoeuT(OW F a“ I. Consider the following power series: s a, = s Cy'eoy n=l n n=l (A) Determine the Radius of Convergence for this series. [2 [a3 ns” _ Bs 3] 4 an (ati) st! (x3) | net ho oe hoe -S<¥-3 65) 80 -2EXL3, Te Radius of Crerginee Is Res (B) Determine the Interval of Convergence of this series. Clecle far CMWergenec ak the endpoint . Ab y= -2, s cutesy" Ss x = 3 L whichisdiinguA since ney pach no" SN ts tle Haunend Sores hey At x =, fous &" aa Lo which is Convergent by the he, h Alkecnatins Serves Testi The Baber 1 lyn ie Cad] = fx[-2 2x 485 Il. For the given convergent series, approximate the summation s to within an error with absolute value less than or equal to 0.0006 . 2 1 - [ Give your solution in two forms: (1) asasum,eg., s ¥ 3 — 3 + 9 , although your solution might have more terms and certainly not these terms, and (2) in decimal form rounded to four (4) decimal places. ] 2a So toe appvevivchan S, 4S how error Suche tat fev ¢ b= 0, cooste ¢ G,0006- Fob rh -b by de “A Sti 9% 7 5% 5¢*7O,Ui 99