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LaTeX dipisahkan pada lampiran.
Nomor 5.
Alternatif.
cos mx - cos nx
= -2 sin[x(m+n)/2] sin[x(m-n)/2]
Maka,
Limit berikut:
= lim_x⇒0 [ -2 sin[x(m+n)/2] sin[x(m-n)/2] ] / x²
= -2 ](m+n)/2 (m-n)/2
= -1/2 (m²-n²)
= 1/2 (n² - m²)
Nomor 6.
Faktoran umum:
= lim_x⇒2 (x+2)(x-2)/(x-1)(x-2)
= lim_x⇒2 (x+2)/(x-1)
= (2+2)/(2-1)
= 4
Nomor 7.
Faktoran:
= lim_x⇒-7 (x+7)(x-2)/(x+7)(x-7)
= lim_x⇒-7 (x-2)/(x-7)
= (-7-2)/(-7-7)
= -9/-14
= 9/14
Nomor 8.
Patokan, koefisien pangkat tertinggi.
= 4/2
= 2