Pertanyaan

Nilai x → 0 lim x x + x adalah...

Nilai $x \to 0 lim \frac{x + x}{x}$ adalah...

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Klaim

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

nilai adalah 1

nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x plus square root of x over denominator square root of x end fraction end cell end table end style$ adalah 1

Pembahasan

untuk menyelesaikan bentuk limit di atas maka kita dapat merasionalkan bentuk akar Jadi, nilai adalah 1

untuk menyelesaikan bentuk limit di atas maka kita dapat merasionalkan bentuk akar

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x plus square root of x over denominator square root of x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator x plus square root of x over denominator square root of x end fraction times fraction numerator square root of x over denominator square root of x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator open parentheses x plus square root of x close parentheses open parentheses square root of x close parentheses over denominator x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator x square root of x plus x over denominator x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator x open parentheses square root of x plus 1 close parentheses over denominator x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator square root of x plus 1 over denominator 1 end fraction end cell row blank equals cell fraction numerator 0 plus 1 over denominator 1 end fraction end cell row blank equals 1 end table end style$

Jadi, nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x plus square root of x over denominator square root of x end fraction end cell end table end style$ adalah 1