New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Study Guide Mid Term 3

by: Julia Tang

Study Guide Mid Term 3 MATH 2924 - 010

Marketplace > University of Oklahoma > Math > MATH 2924 - 010 > Study Guide Mid Term 3
Julia Tang
GPA 4.0
Differential and Integral Calculus II

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Over the entire Chapter 11 of the Stewart Calculus book 7e. - Sequences - Series tests
Differential and Integral Calculus II
Study Guide
50 ?




Popular in Differential and Integral Calculus II

Popular in Math

This 7 page Study Guide was uploaded by Julia Tang on Monday November 16, 2015. The Study Guide belongs to MATH 2924 - 010 at University of Oklahoma taught by Brady in Summer 2015. Since its upload, it has received 35 views. For similar materials see Differential and Integral Calculus II in Math at University of Oklahoma.


Reviews for Study Guide Mid Term 3


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 11/16/15
10 Some results about series Geometric Series quot 1 i When r lt 1 converges When r lt 1 it converges to the sum 1T OO n ar Test for Divergence If 23021 an converges then limnnoo an 2 0 Integral Test For f continuous on 1 00 positive and decreasing to 0 the series 2201 f converges if and only if the improper integral floo f xda converges Comparison Tests Direct comparison test compares series of positive terms term by term Limit comparison test compares series of positive terms 2201 an and 221 9 When limgt00 2 L a nite limit not equal to 0 Root Test Let 1imgt00 lanlln L If L lt 1 then 2201 an is absolutely convergent and if L gt 1 then it is divergent Ratio Test lan1 lanl Let 1imgt00 divergent L If L lt 1 then 2201 an is absolutely convergent and if L gt 1 then it is Alternating Series Test If an are positive decreasing to 0 then Zf1 1n1an is convergent Moreover the nth partial sum is Within an1 of the sum of the Whole series Power series Ratio test is useful for computing the radius of convergence of a power series 2200 cna aquot Taylor and Maclaurin Series Taylor series for f centered about a is given by oquot f n a n 93 aquot n0 Maclaurin series for f is the Taylor series for f centered about 0 Remainder Estimate Taylor s inequality states that if f quot1a S M on the interval a d a d then Mlx an1 fw Tnltxgt 7H 1 on the interval a d a d Here Tna is the degree n Taylor polynomial approximation to f Wvl bwdc SM m39 0 s WM M notwch mourn 3 I a a zaq N39mhwquot s otva 333z 33 his 3 W 3 u r 31 lt23 1vg A44 4 VH4 3quot 3 4 5quot an x mm g amzt m t a i i 5 3quotLn r r B 3 q 39 5w E Iwg g a 5 33993 301J39ZGIn5 L3 iwsnf lo b l 12 FM Jr rm an rpm 94We 3 at 49 w quot 3f 395 916 5m S 2 32 J Squot 16 7gquot 3w 163 1quot w h 9mm AWM QJ O T am v0 39 9 C IYM39 C4 7quotquot V WUquotUquotUquotUVU39UquotUU39U39U39U39U39U39U39UUUUU quotquotquot W MW 0 Rwymm 24W 61 hi us kw WWW Jaw bvs W Mthmsr an39I in au v fn gt3 tautL Wm B W of 7 rvcou lwuy KymLg EM I39LF US l57r w An V v v39Lquot nH Hfquot q y39M39 Mrs n1 mam m vA Swlvwwu 227w L w Qn YL as mam t w MMW WMS 3n as aw h Lmj n mqu 1 Ww n Irw 3n l 3 0an own quotm solWoW 02 864M 734 MM L UV 393quot 1 analMQnL39iwla ls w zoo N n 39 vvyvvvvvquotquotquotquotquotquotquoti I f 1AM PM fL sL CV 31quot mm m u 2m MW W AM qwaL nW WM w W Ygto 0 W 3m Mums law M IL Lamasum Muse W wova WM Guava 9amp n4 W 9113 V39WLM M W S M NW M if NgtPJ T M Mgtn4 nghqh00 iawpi A WVW 2 I0 If quot bis LOVi Sk39cul f39 W 2 fur ss 39 i T 39 i r w 1 7 um M9quot I 1 h J P y c w g 77 39 63W TWM f39 5 VW cwn fvr nn UM 3 3 UM ta L M GMBW L 90 10 an LA meow f zo39mmquna o RM HMH new WM W J3 39 AM L l39a gla L vx v MI Mquot n Vm MI HM 41 z quot0 r 1 01y En quot min 4 I 39 i L 2 3 4 gpim my i L 39 l 7 I 39 i L Iquot O Ffz fw 1 r 1 d g Far a gEt gjy jg 71 39 um 39 w gt 39 3 a y 1 quot I frAlf39 H W Mi 1 Miquot 4 39n n 3 a h 30 m 39 VHI u1 T 39 ijl k I I v 39 u v 395 c n Pk a v H u I C 91be n 90 M 125 mem 4 w wsrs h n 39 A WM 2quot chm 4130 W n MW MW 4 0 AM w n vam Mm QW L W 144 Wow us wwh a A L W gym 39f Hquot 3 f A 06039 14m OM va AM 6Wl lqV zm Mgw L phy 5WLDZO n W 7 M l ole An N A A A I lWLT3 H 9WMH JV1 W Dshm SCHS quot H Ms K Wu Wus39 2 L a 930 h Lonv 12gt ON y 392 f EQVMM Earquot P WWWIL W Lonv V DIV Yz 3 f SIMLULV H vaMu or qcuwwhnb W 140v LIMA MM Wmsm Mk 4 323 Uni0 M M or D W S39 i Dquotquot b w 1L4 bu W 64 Sum Tlsr39 Poss ou 9 Ram 02 mam 1 quot aquot 5 m cf Um Hum Loot DH 6 zmz ccm vow J39 fw our 3mmfo Rs dd39ttiouucb c e 3 Vquot w c j ffquot 17 sawv 0 5 V1405 quot quot9 quot39O U39 m 03 25 JAM1 WI 99 waf Low39t f 543M va km 47 v 91 8 39 m 39 5mgquot a u quot V 033 i Z MRP Ll 1 n wi39mgdmng i Wm z u o 0 o a o 6 w a 31311


Buy Material

Are you sure you want to buy this material for

50 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.