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Nilai dari x→2lim​ 2x2+3x+16x2−7x−5​ adalah...

Pertanyaan

Nilai dari limit as x rightwards arrow 2 of space fraction numerator 6 x squared minus 7 x minus 5 over denominator 2 x squared plus 3 x plus 1 end fraction adalah...

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai dari limit as x rightwards arrow 2 of space fraction numerator 6 x squared minus 7 x minus 5 over denominator 2 x squared plus 3 x plus 1 end fraction adalah 1 third.

Pembahasan

Perhatikan perhitungan berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator 6 x squared minus 7 x minus 5 over denominator 2 x squared plus 3 x plus 1 end fraction end cell equals cell space fraction numerator 6 open parentheses 2 close parentheses squared minus 7 open parentheses 2 close parentheses minus 5 over denominator 2 open parentheses 2 close parentheses squared plus 3 open parentheses 2 close parentheses plus 1 end fraction end cell row blank equals cell fraction numerator 24 minus 14 minus 5 over denominator 8 plus 6 plus 1 end fraction end cell row blank equals cell 5 over 15 end cell row blank equals cell 1 third end cell end table

Dengan demikian nilai dari limit as x rightwards arrow 2 of space fraction numerator 6 x squared minus 7 x minus 5 over denominator 2 x squared plus 3 x plus 1 end fraction adalah 1 third.

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