lim x-5 x=>5 1-akar (x-4) ? jawabanya yaah
Matematika
gustifajar
Pertanyaan
lim x-5
x=>5 1-akar (x-4) ? jawabanya yaah
2 Jawaban
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1. Jawaban abagusmulyono
(x-5)/(1-√x-4)= (1+√x-4)/ (1+√x-4) » (x-5)(1+√x-4)/1-(x-4)= (x-5)(1+√x-4)/-(x-5)» -(1+√x-4)=-1-1=-2 -
2. Jawaban IcukSugiarto
[tex] \lim_{x \to 5}\,\, \frac{x-5}{1- \sqrt{x-4}} [/tex]
[tex] \lim_{x \to 5}\,\, \frac{x-5}{1- \sqrt{x-4}} \times \frac{1+ \sqrt{x-4}}{1+ \sqrt{x-4}} [/tex]
[tex] \lim_{x \to 5}\,\, \frac{(x-5)(1+ \sqrt{x-4})}{1- (x-4)} [/tex]
[tex] \lim_{x \to 5}\,\, \frac{(x-5)(1+ \sqrt{x-4})}{1- x+4} [/tex]
[tex] \lim_{x \to 5}\,\, \frac{(x-5)(1+ \sqrt{x-4})}{- x+5} [/tex]
[tex] \lim_{x \to 5}\,\, \frac{1+ \sqrt{x-4}}{-1} [/tex]
[tex]masukkan\,\,nilai\,\,x[/tex]
[tex]=\frac{1+ \sqrt{x-4}}{-1} [/tex]
[tex]=\frac{1+ \sqrt{5-4}}{-1} [/tex]
[tex]=\frac{1+ \sqrt{1}}{-1} [/tex]
[tex]=\frac{1+ 1}{-1} [/tex]
[tex]=\frac{2}{-1} [/tex]
[tex]=-2[/tex]