Pertanyaan

N i l ai d a r i x → 0 lim sin 3 x sin 5 x = ...

$N i l ai d a r i x \to 0 lim \frac{sin 5 x}{sin 3 x} = ...$

1
0
-1

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$S i f a t space l i m i t space t r i g o n o m e t r i colon limit as x rightwards arrow 0 of fraction numerator sin a x over denominator a end fraction equals limit as x rightwards arrow 0 of fraction numerator a over denominator sin a x end fraction equals 1 limit as x rightwards arrow 0 of fraction numerator sin 5 x over denominator sin 3 x end fraction equals limit as x rightwards arrow 0 of fraction numerator sin 5 x 3 x 5 x over denominator sin 3 x 5 x 3 x end fraction space space space space space space space space space space space space space space space space space space equals open parentheses limit as x rightwards arrow 0 of fraction numerator sin 5 x over denominator 5 x end fraction close parentheses open parentheses limit as x rightwards arrow 0 of fraction numerator 3 x over denominator sin 3 x end fraction close parentheses open parentheses 5 over 3 close parentheses space space space space space space space space space space space space space space space space space space equals 1.1. open parentheses 5 over 3 close parentheses space space space space space space space space space space space space space space space space space space equals 5 over 3$