Nilai limit x mendekati 0 cos x – cos 5x/x tan 2x
=
6
Pembahasan:
lim cos x – cos 5x
x￫0 x tan 2x
= lim –2 sin ½(x + 5x) sin ½(x – 5x)
x￫0 x tan 2x
= lim –2 sin 3x . sin (-2x)
x￫0 x tan 2x
= lim –2 . sin 3x . sin (-2x)
x￫0 x tan 2x
= –2 × 3 × (-1)
= 6