Tolong ya, tugas nya tak sulit kok

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Tolong ya, tugas nya tak sulit kok​

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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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