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Nilai dari x→3lim​ x−3x2−9​ adalah...

Pertanyaan

Nilai dari limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator x minus 3 end fraction adalah...

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 9 over denominator x minus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table.

Pembahasan

Dengan menggunakan metode pemfaktoran diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator x minus 3 end fraction end cell equals cell limit as x rightwards arrow 3 of space fraction numerator open parentheses x minus 3 close parentheses open parentheses x plus 3 close parentheses over denominator x minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space open parentheses x plus 3 close parentheses end cell row blank equals cell 3 plus 3 end cell row blank equals 6 end table

Dengan demikian nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 9 over denominator x minus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table.

129

4.6 (3 rating)

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Carilah nilai limit berikut x→1lim​x−1x2−1​

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Jawaban terverifikasi

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