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Math 101 Matematik I Dersnotlari Türev.pdf

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Yrd. Doç. Dr. Coþkun YAKARB =38 B # Þ =38B Þ -9=BBÄ! BÄ!"/ B BÄ! / Bœ lim / Þlim œ limœ!lim CœlimÐ"/Ñ œ/ œ"BÄ!BÄ!#B >+8B !_!ÀÖrnek :limBÄ_"Î,B !Ð" +BÑ œ _ belirsizlik şekli olupbÁ 0 , a !ß , !CœÐ"+BÑ",BÊM8CœM8Ð"+BÑ,BPœlimÐ"+BÑ œ lim /BÄ_"M8Ð"+BÑ,B ,BBÄ_œ / M8ÐlimBÄ_M8Ð"+BÑ,BÑM8Ð"+BÑ _limBÄ_ ,Bœ_belirsizlik şekli olupPÞLœ lim +"+Bœ !BÄ_ ,M8Ð! Ñ_Pœ/ œ/ œ!1 _ ÀÖrnek : lim Ð" Ñ œ lim /BÄ_+ ,B ,B Þ M8 Ð"BÑB BÄ_+ ,B+BBC œ Ð" Ñ Ê M8C œ ,B Þ M8Ð" ÑM8Clim Cœ lim / œ lim /+,BÞM8Ð" ÑB+M8Ð"+Ñœ/ PœlimBœBÄ_ ",BPÞLBÄ_ +B #" B +"P œ lim œ+Þ, œ/,B #!!+Þ,Not :+œ"ß,œ" ise lim Ð" Ñ œ/BÄ_+ ,BB120© GYTE Mühendislik bölümleri için hazýrlanmakta, her hakký saklý olup izinsizçoðaltýlamaz ve daðýtýlamaz. ®

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