Question

Tolongbantu jawab soal limit​

Answer 1

Jawab:

lmit trigonometri

Penjelasan dengan langkah-langkah:

lim(x-> π/4)   sin (π/4 - x )  tan (x + π/4)

.

misal

t = x - π/4

x = t + π/4

x = π/4 --> t = 0

.

lim(x-> π/4)  sin (π/4 - x )  tan (x + π/4)=

= lim(t ->0)   sin (π/4 - (t + π/4))  tan (t + π/4 + π/4)

= lim(t -> 0)  sin (-t)  tan (π/2 + t)

= lim(t -> 0)  - sin t .  - cot (t)

= lim(t -> 0) - sin t / - tan t

= t/t

= 1