Page 20 - MODUL 1 FUNGSI DAN LIMIT FUNGSI_Neat

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(
(4) lim f (x )  g (x ))  lim f (x )  lim g (x )
x a x a x a
(
(5) lim f (x )g (x ))  lim f (x )  lim g (x )
x a x a x a
f (x ) lim f (x )
(6) lim  x a ; g (x )  0
x a g (x ) lim g (x )
x a
n
n
(7) lim f ( x)   lim f ( x) 
x a x a
(8) lim n f (x )  n lim f (x ; ) lim f (x )  , 0 n genap
x a x a x a

d. Limit Fungsi Trigonometri

Teorema
sin x
(1) lim  1
x  0 x
1 cosx
(2) lim  0
x  0 x

Teorema Akibat
x
(1) lim cos  1
x  0
tan x
(2) lim  1
x  0 x

Contoh:
Tentukan nilai dari:

3 sin 2 x
1. lim
x 0 4 xcos x

2
1 cos x
2. lim
x 0 2x 2
2
x  2x  3
3. lim
x 0 tan( 2x  6x )

Jawab:
1. Nilai dari