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LiMit Piurasi
5 limit trigonometri
lim sin e
840 0
lim
1
lim
tan e =
lim
e
040 sing
010
e
040 tan e
Contoh Soal:
1. lim 4x
lim 4x
7
2. lim
cos 3x Sin 4× = lim cos 3x, lim
x10 sin 7x
xo Sin7x 7
x-0
tan 6x
x-10
x10
Sin 4x
tan 6x
= lim
7x
x10
Sin 7x
1. lim sin 4x
x10 tan 6x
4×
6x
•
4x 6x
1.9
= lim sin 4x. 6x
41
=
x10
-4x
tan 6x
6X
= 1
416
2/2
E
3. lim
x-3
Sin (2x-6)= lim sin (2x-6), 2x-6
3x-9 X-3 3x-9
= lim Sin (2x-6)
x-73
= lim
2x-6
lim
2x-6
x-13
2x-6
3x-9
sin (2x-6)
lim 2 (x-3)
x+3
3(x-3)
(2x-6)70 2x-6
= 1.2/3 = 2/3
• limit reetalhinggaan
Bentuk Pecahan
lim C =
0
x100 xn
Bentuk Akart
√ax² + bx + c - √px²+9x+5
lim
X-10
note:
97P = DO
9<p=-∞
a = p = b-q
2 √a
Contoh Soal:
=
1. lim 8x+7 lim 8x+7
X18 4x-1
2. lim
87x
X18
= lim
4x-1
'/x
8+7/x
4- /x
=
= 8+0
4-0
8/4 = 2
9x28x+3 = lim √√9x²-8x+3
4x-7
87x
4x-7
= lim √9x²-8x+3. √√
80+x
= lim
×17100
4-71x
9-81x+31x²
4-7x
= 9-0+0
=
·9-0
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