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Matemática A · year 12 · Cálculo diferencial
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![Exercise 8 — 8. Seja f uma função de domínio R . Sabe-se que: • para qualquer número real a , a ≠ 2 , lim f x f a x a = " ] ] g g ; • lim f x f 2 x 2 " ] ^ g h , com f 2 0 2 ^ h , e lim f x x 2 3 " ] g ; • f f 3 0 # 1 1 ^ ^ h h .…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2024-f1/item-8.2cbaf7f8e7.webp)








![Exercise 8 — 8. Resolva este item sem recorrer à calculadora. Seja f a função, de domínio R , definida por se se cos ln f x x x x e x x 1 0 0 1 $ ^ h Z [ \ ]] ]] Averigue se a função f é contínua em x 0 = .](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2022-f2/item-8.73464851a9.webp)
![Exercise 10 — 10. Seja f a função, de domínio R , definida por se se f x e x x x 1 3 0 5 3 0 x 5 ! ] g Z [ \ ]] ] Averigue, sem recorrer à calculadora, se a função f é contínua em x 0 = .](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2022-ee/item-10.fb8c23a27c.webp)












![Exercise 5 — 5. Para um certo número real k , é contínua em R a função f, definida por se x 1 se k x log f x x x 1 1 1 3 2 Y ] g * Qual é o valor de k ? (A) 5 (B) 6 (C) 8 (D) 9](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2019-f2/item-5.3d90dbf4e0.webp)













![Exercise Part I · 6 — 6. Para um certo número real k, é contínua em R a função f definida por se sen f x x x x k x 4 4 3 3 1 2 1 = + + = − + = − se Y ^ ^ h h Z [ \ ]] ] Qual é o valor de k ? (A) 3 5 − (B) 4 5 − (C) 4 5 (D) 3 5](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2016-ee/item-I-6.7ea92b3f8e.webp)
![Exercise Part I · 4 — 4. Para um certo número real k, é contínua em R a função f definida por ln f x e x x x x x 2 0 2 1 0 se se x k 2 # = + + + + ^ ] h g Z [ \ ]] ]] Qual é o valor de k ? (A) 0 (B) 1 (C) ln2 (D) ln 3](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2015-f2/item-I-4.cbd68ab607.webp)


![Exercise Part I · 5 — 5. Considere, para um certo número real k, a função f, contínua em , 4 2 r r ; E, definida por cos f x x x x k x 2 4 2 3 2 se se 1 # r r r r = − − = ^ h Z [ \ ] ]] ] ] Qual é o valor de k ? (A) 0 (B) 1 (C) 2 (D) 4](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/matematica-a/2014-f2/item-I-5.5c3c4c2166.webp)



















