Pertanyaan

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

Jika $f (x) = \frac{1}{x}$ maka nilai $h \to 0 lim \frac{f ( x + h ) f ( h )}{h}$ adalah ...

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Jika maka nilai adalah

Jika 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

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

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

4.0 (4 rating)

Pertanyaan serupa

Nilai x → 1 lim 1 − x ( 5 − x − 2 ) ( 2 − x + 1 ) adalah ....

0.0

Jawaban terverifikasi

Diketahui x → a lim f ( x ) = 8 , x → a lim g ( x ) = − 3 dan x → a lim h ( x ) = 4 . Tentukan :

5.0

Jawaban terverifikasi

Diketahui x → a lim f ( x ) = − 1 dan x → a lim g ( x ) = 6 . Tentukan nilai: c. x → a lim ( g ( x ) 2 − 6 f ( x ) 2 f ( x ) ⋅ g ( x ) )

5.0

Jawaban terverifikasi

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 )...

4.3

Jawaban terverifikasi

Diberikan x → a lim f ( x ) = 3 dan x → a lim g ( x ) = − 1 . Hitunglah nilai setiap limit berikut. a. x → a lim f 2 ( x ) + g 2 ( x ) b. x → a lim f ( x ) + g ( x ) 2 f ( x ) − 3 g...

3.7

Jawaban terverifikasi