Pertanyaan

Jika x → c lim f ( x ) = 6 dan x → c lim g ( x ) = − 8 . Carilah setiap limit berikut. b. x → c lim f ( x ) + g ( x ) 5 f ( x ) − 4 g ( x )

Jika $x \to c lim f (x) = 6 dan x \to c lim g (x) = - 8$ . Carilah setiap limit berikut.

b. $x \to c lim \frac{5 f ( x ) - 4 g ( x )}{f ( x ) + g ( x )}$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

P. Data

Master Teacher

Jawaban terverifikasi

Jawaban

.

$begin mathsize 14px style limit as x rightwards arrow c of fraction numerator 5 f left parenthesis x right parenthesis minus 4 g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end fraction equals negative 31 end style$ .

Pembahasan

Sifat-sifat limit fungsi aljabar : 1. 2. 3. , asalkan Dengan menggunakan sifat-sifat limit, diperoleh: Dengan demikian, .

Sifat-sifat limit fungsi aljabar :

3. $begin mathsize 14px style limit as x rightwards arrow c of fraction numerator f open parentheses x close parentheses over denominator g open parentheses x close parentheses end fraction equals fraction numerator limit as x rightwards arrow c of f open parentheses x close parentheses over denominator limit as x rightwards arrow c of g open parentheses x close parentheses end fraction end style$ , asalkan

Dengan menggunakan sifat-sifat limit, diperoleh:

undefined

Dengan demikian, $begin mathsize 14px style limit as x rightwards arrow c of fraction numerator 5 f left parenthesis x right parenthesis minus 4 g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end fraction equals negative 31 end style$ .