Pertanyaan

Nilai h → 0 lim h 3 8 + h − 2 = ...

Nilai $h \to 0 lim \frac{3 8 + h - 2}{h} = ...$

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Ingat! Bentuk penjabaran pangkat 3, yaitu : Misal: Maka :

Ingat!

Bentuk penjabaran pangkat 3, yaitu :

$a cubed minus b cubed equals open parentheses a minus b close parentheses open parentheses a squared plus a b plus b squared close parentheses a minus b equals fraction numerator a cubed minus b cubed over denominator open parentheses a squared plus a b plus b squared close parentheses end fraction$

Misal:

Maka :

$limit as h rightwards arrow 0 of fraction numerator cube root of 8 plus h end root minus 2 over denominator h end fraction equals limit as h rightwards arrow 0 of fraction numerator a minus b over denominator h end fraction equals limit as h rightwards arrow 0 of fraction numerator a cubed minus b cubed over denominator open parentheses a squared plus a b plus b squared close parentheses h end fraction S e h i n g g a space colon equals limit as h rightwards arrow 0 of fraction numerator 8 plus h minus 8 over denominator open parentheses cube root of open parentheses 8 plus h close parentheses squared end root plus 2. cube root of 8 plus h end root plus 4 close parentheses h end fraction equals limit as h rightwards arrow 0 of fraction numerator h over denominator open parentheses cube root of open parentheses 8 plus h close parentheses squared end root plus 2. cube root of 8 plus h end root plus 4 close parentheses h end fraction equals fraction numerator 1 over denominator open parentheses cube root of open parentheses 8 plus 0 close parentheses squared end root plus 2. cube root of 8 plus 0 end root plus 4 close parentheses end fraction equals fraction numerator 1 over denominator open parentheses 4 plus 2.2 plus 4 close parentheses end fraction equals 1 over 12$