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Nilai .

Pertanyaan

Nilai limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction.

Pembahasan Soal:

Permasalahan limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x squared minus 6 x plus 8 close parentheses over denominator x squared plus 2 x minus 8 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x minus 4 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x plus 4 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x minus 4 close parentheses over denominator open parentheses x plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator 3 open parentheses 2 minus 4 close parentheses over denominator open parentheses 2 plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator 3 open parentheses negative 2 close parentheses over denominator 6 end fraction end cell row blank equals cell negative 6 over 6 end cell row blank equals cell negative 1 end cell end table

Jadi, limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction equals negative 1.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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