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HW6 - Math 21A Kouba Worksheet 3 1 Use the precise...

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Unformatted text preview: Math 21A Kouba Worksheet 3 1.) Use the precise epsilon/delta deﬁnition of limit to prove the following statements. These are writing exercises like those done in class. You must be clear, concise, and organized. a.) lirn (3x + 5) z 35 sic—>10 b. l' 1 —— 4 = ) m—klirlli/2 ( m) 7 c.) lim (:1:2 + 3): 4 2—H d.) lim (x2 + 3) == 4 :z:—+—1 2 1 . l' 2* m+4 ~1 f. ' 2—— g.) lim (ﬂ+2)=5 2:49 L) a.) \ijM M M L3><¢5)=3y; X—alo WM moon/<5 “TM W C) pm M (x2+3):q X~a ng’I/ILX—(Mm—QI < a W1X—lllK+l)<€/. IX+II 76%); 8—3! TM o<><<c2 9.4) ANA/vi ___e___‘___}___ l<lX+lr(< 0 lea lx-IHX+([< [X41 (3) < E W l><~l( <€/3 TM . W / 1+ o<l><~C-D[<5 746w [~Hx)~<{1< a 15.. ,7 o<§x+il<5 W \-H><)~q{<€. “(’0‘er 6W3» "W‘Uﬁ—n 1x+ll, TM IX+((< 5/3 ' .T/Wigf o<\ ligx)vq{<€ “TM Mack )ﬁo<\x~3]<5 W I+LXQV§~\<EL_ WM gﬁl. "I’M oz<x<q S Maria MHL 5<lx+3[<7 MW --f——\——ﬁ—-— ,2 X=3q .L< ‘ 1 _. <.._. l 1 x—3 i -3 _L 3‘ (|x+3|<3gxl5<€’ l W y;l><—3l<£ ‘ lx—3J<(5£ M Ezmibffé 'T’Mj o<lx-3(<J 76km l~Hx)~§‘—|<5, TM ‘ Uf—ﬂUx—4'3) a W l (@440 < PM ‘X—cﬂ <5. WWI MQMWWWIW+3L WSW 5§(,'TM g<x<lo M4; MAM 454,3 <lm+3i<ﬁ+3 g x:<( IO MM ‘ I l < < W+3 Hz+3{ 1374—3 W / \X‘ﬁl- I <[X~‘TI- ‘ < a HRH—3) 1/574'3 W “(—67! < CW+3)<5 . M 5—. Mil) (43—+3)<S}. 'TM/ #74 0< [X‘«‘T{<§ 7Hu>m ‘4l(x)_5[< a , fM ...
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HW6 - Math 21A Kouba Worksheet 3 1 Use the precise...

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