nilai limit
plis dibantu pakai cara ya terima kasih
plis dibantu pakai cara ya terima kasih
[tex] lim_{x \to 4} \frac{5-\sqrt{x^2+9}}{4-x} \\ = lim_{x \to 4} \frac{5-\sqrt{x^2+9}}{4-x} \times \frac{5+\sqrt{x^2+9}}{5+\sqrt{x^2+9}}\\ = lim_{x \to 4} \frac{25 - (x^2+9)}{(4-x)(5+\sqrt{x^2+9})}\\ = lim_{x \to 4} \frac{16-x^2}{(4-x)(5+\sqrt{x^2+9})}\\ = lim_{x\to 4} \frac{(4-x)(4+x)}{(4-x)(5+\sqrt{x^2+9})}\\ = lim_{x\to 4} \frac{4+x}{5+\sqrt{x^2+9}}\\ = \frac{4+4}{5+\sqrt{4^2+9}}\\ = \frac{8}{5+\sqrt{25}}\\ = \frac{8}{10} \\ = \frac{4}{5} [/tex]
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