contoh soal uan - limit
TRANSCRIPT
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 1
1. Nilai = …
a. – 8
b. – 6
c. 6
d. 8
e.
2. Nilai = …
a. –
b. –
c. 0
d.
e.
3. Nilai dari = …
a. –2
b. 0
c. 1
d. 2
e. 4
4. Nilai dari = …
a. 0
b.
c.
d.
e. –
5. Nilai = …
a. –
b. –
c. 0
d.
e.
6. Nilai dari = …
a. 3
b. 6
c. 9
d. 12
e. 15
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 2
7. Nilai = …
a. – 3
b. – 2
c. –
d. 0
e.
8. Nilai = …
a. –1
b. 0
c. 1
d. 2
e. –
9. Nilai = …
a. 2
b. 0
c. –1
d. –2
e. –3
10. Nilai = …
a. – 4
b. – 2
c. 1
d. 2
e. 4
11. Nilai dari = …
a.
b.
c.
d. 2
e. 3
12. Nilai dari = …
a. –4
b. –6
c. –8
d. –16
e. –32
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 3
13. = …
a. 0
b.
c.
d. 1
e. 3
14. Nilai dari = …
a. –
b. –
c.
d.
e.
15. Nilai = …
a. – 2
b. – 1
c. 0
d.
e. 2
16. Nilai = …
a. – 1
b. 0
c. 1
d. 2
e.
17. Nilai = …
a. 3
b. 1
c. 0
d. – 3
e. – 6
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 4
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:
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 5
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: –
–– –
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 6
6. Jawab: C
Cara Laplace:
A = 3x A’ = 3
B = – B’ = –
––
––
B’ =
=
Sehingga:
7. Jawab: D
– ––
––
– –
–
–
–
– –
–
Sehingga diperoleh:
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 7
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
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 8
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 ( x – ) + tan ( x – ) B’ = 2 + sec2 ( x – )
= –
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 9
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 – cos 2x 1 – ( 1 – 2 sin2 x )
1 – cos 2x = 2 sin2 x
Sehingga:
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CONTOH SOAL UAN – LIMIT
© Aidia Propitious 10
17. Jawab: E
Cara Laplace:
A = sin 2x A’ = 2 . cos 2x
B = 3 – B’ = – –
B’ = –
= –
= 2 . cos 2x
Sehingga: