Pertanyaan

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

$x \to 2 lim \frac{3 x + 2}{x ^{2} + 7 x - 2} = ....$

R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Jawaban

nilai adalah

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

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2. end cell end table

Pembahasan

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

Nilai $limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction space$ dapat ditentukan dengan mensubstitusi nilai x equals 2 space ke 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 $limit as x rightwards arrow 2 of fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction space$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2. end cell end table

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