Pertanyaan

Jika f ( x ) = x 1 ​ maka nilai h → 0 lim ​ h f ( x + h ) f ( h ) ​ adalah ...

Jika   maka nilai  adalah ...

  1. begin mathsize 14px style horizontal ellipsis end style 

  2. begin mathsize 14px style horizontal ellipsis end style 

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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Jika maka nilai adalah

Jika begin mathsize 14px style f open parentheses x close parentheses equals 1 over x end style  maka nilai begin mathsize 14px style limit as h rightwards arrow 0 of fraction numerator f open parentheses x plus h close parentheses f open parentheses h close parentheses over denominator h end fraction end style adalah

begin mathsize 14px style limit as h rightwards arrow 0 of fraction numerator f left parenthesis x plus h right parenthesis f left parenthesis h right parenthesis over denominator h end fraction equals limit as h rightwards arrow 0 of fraction numerator begin display style fraction numerator 1 over denominator x plus h end fraction end style times begin display style 1 over h end style over denominator h end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as h rightwards arrow 0 of fraction numerator begin display style fraction numerator 1 over denominator x plus h end fraction end style over denominator h end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as h rightwards arrow 0 of fraction numerator 1 over denominator h open parentheses x plus h close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals infinity end style 

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Diketahui x → a lim ​ f ( x ) = 3 , x → a lim ​ h ( x ) = 0 , dan x → a lim ​ g ( x ) = 5 . Hitunglah nilai setiap limit berikut a. x → a lim ​ [ 2 f ( x ) + g ( x ) ] 2 b. x → a lim ​ 4 g ( x )...

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