Pertanyaan

Nilai x → 2 lim x 2 − 4 ( x + 3 ) ( x − 2 ) adalah ...

Nilai $x \to 2 lim \frac{( x + 3 ) ( x - 2 )}{x ^{2} - 4}$ adalah ...

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $limit as x rightwards arrow 2 of fraction numerator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction$ adalah 5 over 4

Pembahasan

Mencari nilai limit: Jadi, nilai adalah .

Mencari nilai limit:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow thin space 2 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator x squared minus 4 end fraction end cell equals cell limit as x rightwards arrow thin space 2 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow thin space 2 of space fraction numerator x plus 3 over denominator x plus 2 end fraction end cell row blank equals cell fraction numerator 2 plus 3 over denominator 2 plus 2 end fraction end cell row blank equals cell 5 over 4 end cell end table$

Jadi, nilai $limit as x rightwards arrow 2 of fraction numerator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction$ adalah 5 over 4 .