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Pertanyaan

x → 2 lim ​ x 2 + 7 x − 2 ​ 3 x + 2 ​ = ....

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R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

nilai adalah

nilai limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction spaceadalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2. end cell end table

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Pembahasan

Nilai dapat ditentukan dengan mensubstitusi nilai ke dalam fungsi sehingga Jadi nilai adalah

Nilai limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction spacedapat ditentukan dengan mensubstitusi nilai x equals 2 spaceke dalam fungsi limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction space sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals cell fraction numerator 3 open parentheses 2 close parentheses plus 2 over denominator square root of open parentheses 2 close parentheses squared plus 7 open parentheses 2 close parentheses minus 2 end root 16 end fraction end cell row cell limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals cell fraction numerator 8 over denominator square root of 4 plus 14 minus 2 end root end fraction end cell row cell limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals cell fraction numerator 8 over denominator square root of 16 end fraction end cell row cell limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals cell 8 over 4 end cell row cell limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals 2 end table


Jadi nilai limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction spaceadalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2. end cell end table

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