Quiz (Math) [+50]
[tex] \displaystyle \sf \lim_{x \: \to \: 2}( \frac{ {x}^{3} - 8}{x - 2} )[/tex]
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[tex] \displaystyle \sf \lim_{x \: \to \: 2}( \frac{ {x}^{3} - 8}{x - 2} )[/tex]
Penjelasan dengan langkah-langkah:
[tex]\displaystyle \sf \lim_{x \: \to \: 2}( \frac{ {x}^{3} - 8}{x - 2})[/tex]
[tex] =\displaystyle \sf \lim_{x \: \to \: 2}( \frac{(x - 2)( {x}^{2} + 2x + 4) }{ x- 2} )[/tex]
[tex] =\displaystyle \sf \lim_{x \: \to \: 2}( {x}^{2} + 2x + 4)[/tex]
[tex] \sf = {2}^{2} + 2(2) + 4[/tex]
[tex] = \sf4 + 4 + 4[/tex]
[tex] \sf = 12[/tex]
Penjelasan dengan langkah-langkah:
[tex]\displaystyle \sf \lim_{x \: \to \: 2}( \frac{ {x}^{3} - 8}{x - 2} ) \\ \displaystyle \sf \lim_{x \: \to \: 2} \frac{ (x - 2)( {x}^{2} + 2x + 4 )}{x - 2} \\ \displaystyle \sf \lim_{x \: \to \: 2} {x}^{2} + 2x + 4 \\ {2}^{2} + 2(2) + 4 \\ 4 + 4 + 4 \\ 8 + 4 \\ = 12[/tex]
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