Calculus 1000A/B Lecture Notes - Lecture 4: Billion Years

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Kiriushcheva

Document Summary

Let fad be definednear a point x a. Then finnafix l meansthatf becomes arbitrary closeto lmean x approaching a caaisnotnecessary my. fm dfirefox lfca. 2 fipfix l butfcb notdefined a e a ni lim ix i x a fix. Domainxen exceptx a fire y linecxy. fi lir. n. cxn xa i i a onesidedlimits. Definition eimfix l ismemostlefthandedlimitoffix a aix a limfix m ismemost righthanded limitoffix x a ix a. Theoremhimfixl ifandonlyif ei. m. fi i eimfixi a a a exist. Ht i t o oeco a o s. Ee eintxxno limhugodo o not acos court e. mn one eimyou. in t. no gsin asink notdefined at ao. Tuenlimfix x a meansmatfcan be arbitrarylargewhen isclose toa dimfix oo x arbitarylargenegative fix yar is. Domainxer excepta o a o n lim yi oo lim ye oo xnot x. no. Definition the linex a is called a verticalasymptoteofmecurve gfix ifat leastonecondition issatisfied one c 2 lionfix oo c88 x a s 6 him oo x a.