Pertanyaan

x → 0 lim 1 − se c 2 2 x 2 x sin 3 x = ⋯

$x \to 0 lim \frac{2 x sin 3 x}{1 - se c ^{2} 2 x} = \dots$

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Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Maka

$size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px space fraction numerator size 14px 2 size 14px x size 14px space size 14px sin size 14px space size 14px 3 size 14px x over denominator size 14px 1 size 14px minus size 14px s size 14px e size 14px c to the power of size 14px 2 size 14px space size 14px 2 size 14px x end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px space fraction numerator size 14px 2 size 14px x size 14px space size 14px sin size 14px space size 14px 3 size 14px x over denominator size 14px minus size 14px tan to the power of size 14px 2 size 14px space size 14px 2 size 14px x end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px minus fraction numerator size 14px 2 size 14px x over denominator size 14px tan size 14px space size 14px 2 size 14px x end fraction size 14px times fraction numerator size 14px sin size 14px space size 14px 3 size 14px x over denominator size 14px tan size 14px space size 14px 2 size 14px x end fraction size 14px equals size 14px minus size 14px 2 over size 14px 2 size 14px times size 14px 3 over size 14px 2 size 14px equals size 14px minus size 14px 3 over size 14px 2$

Maka $begin mathsize 14px style limit as x rightwards arrow 0 of space fraction numerator 2 x space sin space 3 x over denominator 1 minus s e c squared space 2 x end fraction equals negative 3 over 2 end style$