Maths Assignment 1 PDF

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Summary

This document contains various mathematical problems related to limits, sequences and series. The problems are from an assignment, possibly for an undergraduate-level course.

Full Transcript

MA Assiment I PAGE NO Neme: IKigade Meet Gherct bhcai Sec tim A4 Rollo B24 EE T036 0e Pt. Electica...

MA Assiment I PAGE NO Neme: IKigade Meet Gherct bhcai Sec tim A4 Rollo B24 EE T036 0e Pt. Electical Emgimeering )hive KGR m ever fosi ve i Sa For contt iaio, SSme A tthat >0, heve existS Po sitiUe Sorr eveb mderl)sch thct given hot asSmfEion byt Shce, givem be goeate So, LmySt Le O. Hem ce phoved DATE / I FAGE N0 2) To progve thee S Gges t ybe. Fob cmicti, Ascue he that mere exsts mymberr A A1 kno that, At1 A So,hee nybe. Hence froved. (ii) To prove :hee nmbe. lest o sitive eaticma) Fox Contrg dictin, Sme As hat ter e eists least positive ratiamal nymbe Sice PositiVe bGtima) lso Pogitive Pgtion) nuber, that) diui ded by makes vele Smalle Assumptin So there east Positive bgtimel mmer. Hence foove DATE CAGE NO I t SYRe exists, t st beyte. 3)() Ler ASR be Set. Assyme tha Set A has vale5 A1 Az So, thR S1fb emy vulMe te lecçst baund Vale Amy Set As Pe tefinítis, we Can So An Az Go, Mr As Sumtiom wrm. HeCe Jf e xiStS, t mSt be seMence Cm have (ii)To poove a limit Setemce cher e 2 For DATE / PAGE NO < 3L < 2 2 2 both condic 45 each So,a Ass Ymlim sea. ever one limit R hae at (4)() lig Cmd the fur o li =3 Cm 352 Let, E>0 Cmd t2 3

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