Pertanyaan

Nilai x → 0 lim x tan x 2 sin 2 2 1 x = .....

Nilai $x \to 0 lim \frac{2 sin ^{2} \frac{1}{2} x}{x tan x}$ = .....

-2
-1
1

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator 2 sin squared 1 half x over denominator x tan x end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 sin 1 half x sin 1 half x over denominator x tan x end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 sin 1 half x sin 1 half x over denominator x tan x end fraction cross times fraction numerator x over denominator 1 fourth x cross times 4 end fraction equals 2 limit as x rightwards arrow 0 of open parentheses fraction numerator sin 1 half x over denominator 1 half x space end fraction cross times fraction numerator sin 1 half x over denominator 1 half x space end fraction cross times fraction numerator x over denominator tan x end fraction cross times 1 fourth close parentheses equals 2 left parenthesis 1 cross times 1 cross times 1 cross times 1 fourth right parenthesis equals 1 half$