Tolong Ya, Tugas Nya Tak Sulit Kok

Tolong ya, tugas nya tak sulit kok

Jawab:

$\frac{2\sqrt{6}+2 }{5}$

Penjelasan dengan langkah-langkah:

lim x=2 = $\frac{x+2}{\sqrt{5x+14} -2}$

$\frac{x+2}{\sqrt{5x+14} -2}$ = $\frac{x+2}{\sqrt{5x+14} -2} .\frac{\sqrt{5x+14} +2}{\sqrt{5x+14} +2}$

$\frac{x+2(\sqrt{5x+14} +2)}{{5x+14} -4}$ = $\frac{x+2(\sqrt{5x+14} +2)}{5x+10}$ = $\frac{(x+2)(\sqrt{5x+14} +2)}{5(x+2)} = \frac{\sqrt{5x+14} +2}{5}$

maka :

$\frac{\sqrt{5.2+14} +2}{5} = \frac{\sqrt{24} +2}{5} =\frac{\sqrt{4.6} +2}{5}$ = $\frac{2\sqrt{6}+2 }{5}$

cara subtitusi :

lim x=2 = $\frac{x+2}{\sqrt{5x+14} -2}$

$\frac{2+2}{\sqrt{5.2+14} -2}$ = $\frac{4}{\sqrt{10+14} -2} = \frac{4}{\sqrt{24} -2}} = \frac{4}{4.89-2}$

4.89 dibulatkan menjadi 5

$\frac{4}{5-2} = \frac{4}{3} = 1.33$

sesuai saran user alfianrizky07

lim x=-2 = $\frac{x+2}{\sqrt{5x+14} -2}$

$\frac{x+2}{\sqrt{5x+14} -2}$ = $\frac{x+2}{\sqrt{5x+14} -2} .\frac{\sqrt{5x+14} +2}{\sqrt{5x+14} +2}$

$\frac{x+2(\sqrt{5x+14} +2)}{{5x+14} -4}$ = $\frac{x+2(\sqrt{5x+14} +2)}{5x+10}$ = $\frac{(x+2)(\sqrt{5x+14} +2)}{5(x+2)} = \frac{\sqrt{5x+14} +2}{5}$

maka :

$\frac{\sqrt{5.(-2)+14} +2}{5} =\frac{\sqrt{-10+14} +2}{5} =\frac{\sqrt{4} +2}{5} =\frac{2+2}{5} = \frac{4}{5}$ = 0.8

e. 0.8

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