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Nilai dari  adalah ....

Pertanyaan

Nilai dari limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction adalah ....

Pembahasan Soal:

Permasalahan limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction dapat diselesaikan dengan menggunakan metode substitusi. Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction end cell equals cell fraction numerator open parentheses negative 2 close parentheses squared minus 2 open parentheses negative 2 close parentheses minus 6 over denominator open parentheses negative 2 close parentheses squared plus 5 open parentheses negative 2 close parentheses plus 8 end fraction end cell row blank equals cell fraction numerator 4 plus 4 minus 6 over denominator 4 minus 10 plus 8 end fraction end cell row blank equals cell 2 over 2 end cell row blank equals 1 end table

Jadi, limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction equals 1.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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