Pertanyaan

x → 0 lim 3 x 5 + 4 sin 4 x x 2 + 1 − 1 = ...

$x \to 0 lim \frac{x ^{2} + 1 - 1}{3 x ^{5} + 4 sin ^{4} x} = ...$

0
$begin mathsize 14px style fraction numerator 1 over denominator square root of 7 end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator square root of 3 end fraction end style$

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px minus size 14px 1 over denominator square root of size 14px 3 size 14px x to the power of size 14px 5 size 14px plus size 14px 4 size 14px space size 14px sin to the power of size 14px 4 size 14px x end root end fraction size 14px equals size 14px. size 14px. size 14px. size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px minus size 14px 1 over denominator square root of size 14px 3 size 14px x to the power of size 14px 5 size 14px plus size 14px 4 size 14px space size 14px sin to the power of size 14px 4 size 14px x end root end fraction size 14px cross times fraction numerator square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 over denominator square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px x to the power of size 14px 2 over denominator square root of size 14px 3 size 14px x to the power of size 14px 5 size 14px plus size 14px 4 size 14px space size 14px sin to the power of size 14px 4 size 14px x end root open parentheses square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 close parentheses end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px x to the power of size 14px 2 over denominator square root of size 14px 3 size 14px x to the power of size 14px 5 size 14px plus size 14px 4 size 14px space size 14px sin to the power of size 14px 4 size 14px x end root open parentheses square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 close parentheses end fraction size 14px cross times fraction numerator begin display style size 14px 1 over size 14px x to the power of size 14px 2 end style over denominator size 14px 1 over size 14px x to the power of size 14px 2 end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px 1 over denominator square root of begin display style fraction numerator size 14px 3 size 14px x to the power of size 14px 5 size 14px plus size 14px 4 size 14px space size 14px sin to the power of size 14px 4 size 14px x over denominator size 14px x to the power of size 14px 4 end fraction end style end root open parentheses square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 close parentheses end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px 1 over denominator square root of begin mathsize 14px display style 3 x plus fraction numerator 4 space sin to the power of 4 x over denominator x to the power of 4 end fraction end style end root open parentheses square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 1 end root size 14px plus size 14px 1 close parentheses end fraction size 14px equals fraction numerator size 14px 1 over denominator square root of size 14px 0 size 14px plus size 14px 4 end root open parentheses square root of size 14px 0 size 14px plus size 14px 1 end root size 14px plus size 14px 1 close parentheses end fraction size 14px equals size 14px 1 over size 14px 4$