Matematika Sekolah Menengah Atas Tentukan hasil dari [tex]\lim \limits_{x\to 0} \frac{sin(x)}{x^2}[/tex]!​

Earlene Kuphal – May 11, 2023

Tentukan hasil dari [tex]\lim \limits_{x\to 0} \frac{sin(x)}{x^2}[/tex]!​

[tex] \boxed{\begin{aligned}\sf \lim \limits_{x\to 0} \frac{sin \: (x)}{x^2}&=\sf \lim \limits_{x\to 0} \: \frac{sin \: x}{x} \: \times \frac{1}{ x } \\ \sf &=\sf \lim \limits_{x\to 0} \frac{sin \: x}{x} \times \lim \limits_{x\to 0} \frac{1}{x} \\ \sf &= \sf 1 \times \infty \\ \sf &=\sf \infty \end{aligned}}[/tex]

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