Tuliskan dan tunjukkan sifat-sifat limit yang mana saja dapat digunakan untuk menyelesaikan limit fungsi berikut x→1lim​x+4x−4​!

Pertanyaan

Tuliskan dan tunjukkan sifat-sifat limit yang mana saja dapat digunakan untuk menyelesaikan limit fungsi berikut !

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F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

Sifat-sifat limit yang digunakan :

1. begin mathsize 14px style limit as x rightwards arrow a of fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction equals fraction numerator limit as x rightwards arrow a of f left parenthesis x right parenthesis over denominator limit as x rightwards arrow a of g left parenthesis x right parenthesis end fraction end style

2. begin mathsize 14px style limit as x rightwards arrow a of left parenthesis f left parenthesis x right parenthesis plus-or-minus g left parenthesis x right parenthesis right parenthesis equals limit as x rightwards arrow a of f left parenthesis x right parenthesis space plus-or-minus space limit as x rightwards arrow a of g left parenthesis x right parenthesis end style

3. begin mathsize 14px style limit as x rightwards arrow a of x equals a end style

4. begin mathsize 14px style limit as x rightwards arrow a of k equals k end style

 

Jadi nilai

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x minus 4 over denominator x plus 4 end fraction end cell equals cell fraction numerator limit as x rightwards arrow 1 of left parenthesis x minus 4 right parenthesis over denominator limit as x rightwards arrow 1 of left parenthesis x plus 4 right parenthesis end fraction end cell row blank equals cell fraction numerator limit as x rightwards arrow 1 of x minus limit as x rightwards arrow 1 of 4 over denominator limit as x rightwards arrow 1 of x plus limit as x rightwards arrow 1 of 4 end fraction end cell row blank equals cell fraction numerator 1 minus 4 over denominator 1 plus 4 end fraction end cell row blank equals cell negative 3 over 5 end cell end table end style

1rb+

4.0 (7 rating)

Alfando Eklesio

Ini yang aku cari! Makasih ❤️

Pertanyaan serupa

Dengan menggunakan strategi, tentukan nilai limit fungsi berikut: x→1lim​ 2x−3x2+2x−3​

1rb+

4.4

Jawaban terverifikasi

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