MATH 1ZB3 Lecture 12: 11.11 Taylor Polynomials
20 Feb 2019
School
Department
Course
Professor
Document Summary
Representa partialsumof thetaylorseries eg. eeeohtx it x 1 is xj t a taylorpolynomial orderme offld notated tmcx. I f fca tan x findt x centeredat toa. Tux ff n x d y fm a careaboutthepatternforthe coefficientonlythevalue iit i fci o tan. C1 5 c 1 4 2 2x unenx i. Taylor remaindertheorem errorestimationof usingkm to model fix y g y ofthesane howfar anaytheyofthe. Tt maximumofmythdericatieontheregionwhereyoudoapproximation when nz maxif"m ex i on. Mtl d as mt mtftp. alm l c d. I 7 eg if fcx isapproximatedby tix centeredat x 3 approximated rd in magnitude ontheinternal 1,51 findthe upp intimate asgi ytaylorremindertheorem. 3max if ix i on 11,5 f x f 4 f x f x. If exi e 2 seeusually optimizebytakinganotherderivative andset to ttesterdpoints luckly 2. Maxi f x on ismonotomicdecreasing 1 g when x4. I 5 f x tax f 45m 4324 347 abadapproximation. The binomial expansion atb m y am y am b t 7 am b t.
