Tolong banget bantuin ya
Matematika
arinaevery
Pertanyaan
Tolong banget bantuin ya
1 Jawaban
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1. Jawaban whongaliem
[tex] \lim_{x \to \.0} \frac{2x}{2 - \sqrt{x + 4} } = \lim_{x \to \.0} \frac{2x}{2 - \sqrt{x + 4} } X \frac{2 + \sqrt{x + 4} }{2 + \sqrt{x + 4} } [/tex]
[tex]= \lim_{x \to \.0} \frac{2x (2 + \sqrt{x + 4}) }{4 - (x + 4)} [/tex]
[tex]= \lim_{x \to \.0} \frac{2x (2 + \sqrt{x + 4} }{4 - x - 4} [/tex]
[tex]= \lim_{x \to \.0} \frac{2x (2 + \sqrt{x + 4}) }{- x} [/tex]
[tex]= \lim_{x \to \.0} - 2 (2 + \sqrt{x + 4} )[/tex]
[tex]= - 2 ( 2 + \sqrt{0 + 4} )[/tex]
= - 2 (2 + √4)
= - 2 (2 + 2)
= - 2 (4)
= - 8