Jawab:
limit trigonometri bentuktaktentu
Penjelasan dengan langkah-langkah:
lim(x->0) [ tan 2x cos 8x - tan 2x ]/ 16 x²
.
= lim(x->0) [ tan 2x {cos 8x - 1 } ]/ 16 x²
= lim(x->0) [ tan 2x [ 1 - 2 sin² 4x - 1} ] / 16 x²
= lim(x->0) tan 2x ( - 2 sin² 4x ) / 16 x²
= lim(x->0) - 2 tan 2x sin² 4x / 16 x²
= -2 (2x)(4x)² / (16 x²)
= - 4x . 16 x²/ 16 x²
= - 4x
= 0
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Jawab:
limit trigonometri bentuktaktentu
Penjelasan dengan langkah-langkah:
lim(x->0) [ tan 2x cos 8x - tan 2x ]/ 16 x²
.
= lim(x->0) [ tan 2x {cos 8x - 1 } ]/ 16 x²
= lim(x->0) [ tan 2x [ 1 - 2 sin² 4x - 1} ] / 16 x²
= lim(x->0) tan 2x ( - 2 sin² 4x ) / 16 x²
= lim(x->0) - 2 tan 2x sin² 4x / 16 x²
= -2 (2x)(4x)² / (16 x²)
= - 4x . 16 x²/ 16 x²
= - 4x
= 0