Question

B.lim (2x - tan 4x) / (x + sin 3x) x-->0?

Answer 1

misal dg cara ini (x dikeluarkan)
lim x→0 x(2 - (1/x)tan(4x)) / [x(1 + (1/x)sin(3x))]
lim x→0 (2 - (1/x)tan(4x)) / (1 + (1/x)sin(3x))

lim x→0 (2 - (tan(4x) / x))
------------------------------------
lim x→0 (1 + (sin(3x) / x))
dikali 4/4 dan 3/3

lim x→0 (2 - (4 tan(4x) / 4x))
---------------------------------------...
lim x→0 (1 + (3 sin(3x) / 3x))

lim x→0 (2 - 4(1))
---------------------------
lim x→0 (1 + 3(1))

= -2/4
= -1/2