Pertanyaan

Nilai dari x → 2 lim x − 2 x 2 + 2 x − 8 =

Nilai dari $x \to 2 lim \frac{x ^{2} + 2 x - 8}{x - 2} =$

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Maka persamaan limit di atas harus difaktorkan seperti berikut ini:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus 2 x minus 8 over denominator x minus 2 end fraction end cell equals cell fraction numerator 2 squared plus 2 left parenthesis 2 right parenthesis minus 8 over denominator 2 minus 2 end fraction end cell row blank equals cell fraction numerator 4 plus 4 minus 8 over denominator 2 minus 2 end fraction end cell row blank equals cell 0 over 0 end cell row blank blank blank end table$

Maka persamaan limit di atas harus difaktorkan seperti berikut ini:

$limit as x rightwards arrow 2 of fraction numerator x squared plus 2 x minus 8 over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 4 close parentheses left parenthesis x minus 2 right parenthesis over denominator x minus 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 2 of x plus 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 2 close parentheses plus 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 6$