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limit as x rightwards arrow 1 of space fraction numerator x to the power of 4 minus 1 over denominator x squared minus 1 end fraction equals space... 

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

hasil dari limit as x rightwards arrow 1 of space fraction numerator x to the power of 4 minus 1 over denominator x squared minus 1 end fraction equals space 2

Pembahasan

Dengan menggunakan metode pemfaktoran, maka nilai dari limit fungsi tersebut yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of space fraction numerator x to the power of 4 minus 1 over denominator x squared minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of space fraction numerator left parenthesis x squared minus 1 right parenthesis left parenthesis x squared plus 1 right parenthesis over denominator left parenthesis x squared minus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 1 of space left parenthesis x squared plus 1 right parenthesis end cell row blank equals cell 1 squared plus 1 end cell row blank equals cell 1 plus 1 end cell row blank equals 2 end table

Dengan demikian, hasil dari limit as x rightwards arrow 1 of space fraction numerator x to the power of 4 minus 1 over denominator x squared minus 1 end fraction equals space 2

29

5.0 (2 rating)

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