Pertanyaan

x → 1 lim 2 − x + 3 1 − x = ....

$x \to 1 lim \frac{1 - x}{2 - x + 3} = ....$

P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Limit fungsi di atas dapat ditentukan dengan mengalikan fungsinya dengan bentuk sekawan seperti berikut. Jadi, jawaban yang benar adalah A.

Limit fungsi di atas dapat ditentukan dengan mengalikan fungsinya dengan bentuk sekawan seperti berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator 1 minus x over denominator 2 minus square root of x plus 3 end root end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator 1 minus x over denominator 2 minus square root of x plus 3 end root end fraction times fraction numerator 2 plus square root of x plus 3 end root over denominator 2 plus square root of x plus 3 end root end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator open parentheses 1 minus x close parentheses open parentheses 2 plus square root of x plus 3 end root close parentheses over denominator 4 minus open parentheses x plus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator open parentheses 1 minus x close parentheses open parentheses 2 plus square root of x plus 3 end root close parentheses over denominator 4 minus x minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator up diagonal strike open parentheses 1 minus x close parentheses end strike open parentheses 2 plus square root of x plus 3 end root close parentheses over denominator up diagonal strike 1 minus x end strike end fraction end cell row blank equals cell limit as x rightwards arrow 1 of open parentheses 2 plus square root of x plus 3 end root close parentheses end cell row blank equals cell 2 plus square root of 1 plus 3 end root end cell row blank equals cell 2 plus 2 end cell row blank equals 4 end table$

Jadi, jawaban yang benar adalah A.