Matematika Sekolah Menengah Atas Lim x/2- akar 4 -x
X=0

Lim x/2- akar 4 -x
X=0

[tex]\large\boxed{\tt\purple{Soal~:}}\\\\[/tex]

[tex]\rightarrow\blue{lim_{n \to0} \frac{x}{2-\sqrt{4-x}}}[/tex]

[tex]\large\boxed{\tt\blue{Jawab~:}}\\\\[/tex]

[tex]\rightarrow~\red{\frac{x\left(2+\sqrt{4-x}\right)}{\left(2-\sqrt{4-x}\right)\left(2+\sqrt{4-x}\right)}}\\\\\rightarrow~\blue{\frac{x\left(2+\sqrt{4-x}\right)}{x}}\\\\\rightarrow~\pink{\lim _{x\to \:0}\left(2+\sqrt{-x+4}\right)~=2+\sqrt{-0+4}}\\\\\rightarrow~\orange{\sqrt{-0+4}~=\sqrt{4}~=\sqrt{2^2}~=2+2~=4}\\\\[/tex]

[tex]\large\boxed{\tt\green{answer~by~saia~\red{\spadesuit}}}[/tex]

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