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# Contoh Soal UAN - Limit

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### Contoh Soal UAN - Limit

1. 1. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 1. Nilai =… a. –8 d. 8 b. –6 e. c. 6 2. Nilai =… a. – d. b. – e. c. 0 3. Nilai dari =… a. –2 d. 2 b. 0 e. 4 c. 1 4. Nilai dari =… a. 0 d. b. e. – c. 5. Nilai =… a. – d. b. – e. c. 0 6. Nilai dari =… a. 3 d. 12 b. 6 e. 15 c. 9 1 © Aidia Propitious
2. 2. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 7. Nilai =… a. –3 d. 0 b. –2 e. c. – 8. Nilai =… a. –1 d. 2 b. 0 e. – c. 1 9. Nilai =… a. 2 d. –2 b. 0 e. –3 c. –1 10. Nilai =… a. –4 d. 2 b. –2 e. 4 c. 1 11. Nilai dari =… a. c. d. 2 b. e. 3 12. Nilai dari =… a. –4 d. –16 b. –6 e. –32 c. –8 2 © Aidia Propitious
3. 3. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 13. =… a. 0 d. 1 e. 3 b. c. 14. Nilai dari =… a. – d. b. – e. c. 15. Nilai =… a. –2 d. b. –1 e. 2 c. 0 16. Nilai =… a. –1 d. 2 b. 0 e. c. 1 17. Nilai =… a. 3 d. –3 b. 1 e. –6 c. 0 3 © Aidia Propitious
4. 4. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT PEMBAHASAN: 1. Jawab: D Cara Laplace: A = x2 – x – 6 A’ = 2x – 1 – B=4– B’ = – – = =– ( 2x – 1 ) – – Sehingga: 2. Jawab: D Cara Laplace: – – A= – A’ = – – A’ = – B=x–6 B’ = 1 – = = – Sehingga: 4 © Aidia Propitious
5. 5. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 3. Jawab: A Cara Laplace: A = 4x A’ = 4 – – B= – B’ = – – B’ = = Sehingga: 4. Jawab: E ( karena a < d ) 5. Jawab: A Cara Laplace: A = –2x A’ = –2 B= – B’ = 2x – = = Sehingga: – – – 5 © Aidia Propitious
6. 6. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 6. Jawab: C Cara Laplace: A = 3x A’ = 3 – – – B= – B’ = – – B’ = = Sehingga: 7. Jawab: D – – – – – – – – – – – – – Sehingga diperoleh: 6 © Aidia Propitious
7. 7. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 8. Jawab: E a < c sehingga 9. Jawab: D Cara Laplace: A = x2 A’ = 2x – B= – B’ = – B’ = – = =– – Sehingga: 10. Jawab: E cos 2x = 1 – 2 sin2 x 1 – cos 2x = 1 – ( 1 – 2 sin2 x ) = 2 sin2 x Sehingga: 11. Jawab: E sin 3x – sin 3x . cos 2x sin 3x ( 1 – cos 2x ) sin 3x [ 1 – ( 1 – 2 sin2 x ) ] 2 sin 3x . sin2 x 7 © Aidia Propitious
8. 8. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT Sehingga: 12. Jawab: A tan 2x . cos 8x – tan 2x tan 2x ( cos 8x – 1 ) tan 2x [ ( 1 – 2 sin2 4x ) – 1 ] – 2 tan 2x . sin2 4x 13. Jawab: D 1 – cos2 ( x – 2 ) sin2 ( x – 2 ) + cos2 ( x – 2 ) = 1 1 – cos2 ( x – 2 ) = sin2 ( x – 2 ) 3x2 – 12x + 12 x2 – 4x + 4 (x–2)(x–2) Sehingga: 14. Jawab: D Cara Laplace: A=x– A’ = 1 B’ = 2 + sec2 ( x – B=2(x– ) + tan ( x – ) ) = – 8 © Aidia Propitious
9. 9. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT Sehingga: 15. Jawab: C cos 3x – cos x – 2 sin ( 3x + x ) . sin ( 3x – x ) – 2 sin 2x . sin x Sehingga: = –2. .0 =0 16. Jawab: D 1 – ( 1 – 2 sin2 x ) 1 – cos 2x 1 – cos 2x = 2 sin2 x Sehingga: 9 © Aidia Propitious
10. 10. www.aidianet.co.cc CONTOH SOAL UAN – LIMIT 17. Jawab: E Cara Laplace: A = sin 2x A’ = 2 . cos 2x – B=3– B’ = – B’ = – = = 2 . cos 2x – Sehingga: 10 © Aidia Propitious