Roboguru

Pertanyaan

$begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x squared plus 6 x plus 8 over denominator x squared minus 3 x minus 10 end fraction end style$

Pembahasan Soal:

Dengan metode pemfaktoran diperoleh:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x squared plus 6 x plus 8 over denominator x squared minus 3 x minus 10 end fraction end cell equals cell limit as x rightwards arrow negative 2 of fraction numerator up diagonal strike open parentheses x plus 2 close parentheses end strike open parentheses x plus 4 close parentheses over denominator up diagonal strike open parentheses x plus 2 close parentheses end strike open parentheses x minus 5 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of fraction numerator x plus 4 over denominator x minus 5 end fraction end cell row blank equals cell fraction numerator open parentheses negative 2 close parentheses plus 4 over denominator open parentheses negative 2 close parentheses minus 5 end fraction end cell row blank equals cell fraction numerator 2 over denominator negative 7 end fraction end cell row blank equals cell negative 2 over 7 end cell end table end style$

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Juni 2021

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