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Jika . Carilah setiap limit berikut. b.

Jika undefined. Carilah setiap limit berikut.

b. 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 end style      

  1. ...space 

  2. ...undefined 

Jawaban:

Sifat-sifat limit fungsi aljabar :

1. begin mathsize 14px style limit as x rightwards arrow c of open parentheses f open parentheses x close parentheses plus-or-minus g open parentheses x close parentheses close parentheses equals limit as x rightwards arrow c of f open parentheses x close parentheses plus-or-minus limit as x rightwards arrow c of g open parentheses x close parentheses end style

2. begin mathsize 14px style limit as x rightwards arrow c of k times f open parentheses x close parentheses equals k times limit as x rightwards arrow c of f open parentheses x close parentheses end style

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 begin mathsize 14px style limit as x rightwards arrow c of g open parentheses x close parentheses not equal to 0 end style

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.

0

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