QUIZ [tex]\displaystyle\lim_{ \sf \: x \to \sqrt{36} + \sqrt{225} } [ \frac{xx - x}{x \times xx } ][.... Question from @MAGenius

Penyelesaian soal :

$\sf \lim_{ \sf \: x \to \sqrt{36} + \sqrt{225} } [ \frac{xx - x}{x \times xx } ]$

$\sf = \frac{( \sqrt{36} + \sqrt{225} ) \times ( \sqrt{36} + \sqrt{225} ) - ( \sqrt{36} + \sqrt{225} ) }{( \sqrt{36} + \sqrt{225} ) \times ( \sqrt{36} + \sqrt{225}) \times( \sqrt{36} + \sqrt{225} )}$

$\sf = \frac{21 \times 21 - 21 }{21 \times 21 \times 21}$

$\sf = \frac{441 - 21 }{441 \times 21}$

$\sf = \frac{420 }{9.261}$

$\sf = \frac{140 }{3.087}$

$\sf = \frac{20}{441}$

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Jess

Moumoci koreksi ._.

MAGenius benar

Moumoci okelah, thx :-:

MAGenius sama sama

misrokhah439

$\displaystyle\lim_{ \sf \: x \to \sqrt{36} + \sqrt{225} } [ \frac{xx - x}{x \times xx } ]$

$= \displaystyle\lim_{ \sf \: x \to \sqrt{36} + \sqrt{225} } ( \frac{x \times x - x}{x \times (x \times x) } )$

$\sf = \frac{( \sqrt{36} + \sqrt{225} ) \times ( \sqrt{36} + \sqrt{225} ) - ( \sqrt{36} + \sqrt{225} ) }{( \sqrt{36} + \sqrt{225} ) \times (( \sqrt{36} + \sqrt{225}) \times( \sqrt{36} + \sqrt{225} ))}$

$= \frac{( 6+ 15) \times (6 + 15) - (6 + 15)}{(6 + 15) \times ((16 + 15) \times (6 + 15))}$

$= \frac{21 \times 21 - 21}{21 \times (21 \times 21)}$

$= \frac{420}{21 \times 441}$

$= \frac{20}{441}$

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