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

1 votes Thanks 2

Moumoci koreksi ._.

MAGenius benar

Moumoci okelah, thx :-:

MAGenius sama sama

misrokhah439

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

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

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

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

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

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

$= \frac{20}{441}$

$\colorbox{chocolate}{\tt\colorbox{green}{@}\colorbox{00ffc0}{m}\colorbox{00ffff}{i}\colorbox{00c0ff}{s}\colorbox{0080ff}{r}\colorbox{0040ff}{o}\colorbox{0000ff}{k}\colorbox{4000ff}{h}\colorbox{8000ff}{a}\colorbox{c000ff}{h}\colorbox{ff00ff}{4}\colorbox{ff00c0}{3}\colorbox{ff00a0}{9}\colorbox{green}{@}}$

3 votes Thanks 8

misrokhah439 maap salah ketik

misrokhah439 ok syudah

MAGenius ya gpp

misrokhah439 thanks Ba nya om :)

MAGenius sama sama

MAGenius kepencet report njir, gak sengaja

misrokhah439 ;_;

misrokhah439 tenang, saya gk Copas, gk mungkin di apus

MAGenius ok bro, dah di konfirmasi

misrokhah439 oke

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