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CHÖÔNG IV: GIÔÙI HAÏN BAØI 2 : GIÔÙI HAÏN CUÛA HAØM SOÁ(t.t)

CHÖÔNG IV: GIÔÙI HAÏN BAØI 2 : GIÔÙI HAÏN CUÛA HAØM SOÁ(t.t). Ñònh nghóa : sao cho thì. III.Môû roäng khaùi nieäm giôùi haïn cuûa haøm soá :. 1.Haøm soá daàn tôùi voâ cöïc :. Ñònh lyù: Neáu thì

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CHÖÔNG IV: GIÔÙI HAÏN BAØI 2 : GIÔÙI HAÏN CUÛA HAØM SOÁ(t.t)

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  1. CHÖÔNG IV: GIÔÙI HAÏNBAØI 2: GIÔÙI HAÏN CUÛA HAØM SOÁ(t.t)

  2. Ñònh nghóa : sao cho thì III.Môû roäng khaùi nieäm giôùi haïn cuûa haøm soá: 1.Haøm soá daàn tôùi voâ cöïc:

  3. Ñònh lyù: Neáu thì Ngöôïc laïi, neáu thì • Neáu • Neáu f(x) > 0 (x  a) thì • Neáu f(x) < 0 (x  a) thì

  4. Ñònh nghóa: thì 2.Giôùi haïn taïi voâ cöïc: Ví Duï:

  5. Khöû daïng voâ ñònh • Daïng hay • Daïng duøng löôïng lieân hôïp • Ñaët baäc cao nhaát cuûa töû vaø maãu laøm nhaân töû chung • Neáu baäc töû < baäc maãu thì f(x)0 • Neáu baäc töû = baäc maãu thì f(x)soá thöïc • Neáu baäc töû > baäc maãu thì f(x)∞

  6. Caùc baøi taäp ví duï: 1 3 4 2

  7. Ñònh nghóa giôùi haïn moät beân: Soá L ñgl giôùi haïn beân phaûi (hoaëc beân traùi ) cuûa haøm soá f(x) khi x daàn tôùi a, neáu (xn) (xn>a) (hoaëc xn<a) sao cho : lim xn=a thì lim f(xn)= L Ví Duï:

  8. Caùc ví duï: Cho haøm soá : Tìm giôùi haïn beân traùi ,giôùi haïn beân phaûi vaø giôùi haïn haøm soá ( neáu co ù)khi x1

  9. Caùc ví duï: Cho haøm soá :

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