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Diketahui f ( x ) = 3 x + 2 dan g ( x ) = x 2 − 5 x − 4 . Hitunglah: x → − 2 lim ​ f ( x ) . g ( x )

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O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

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 limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis. g left parenthesis x right parenthesis equals limit as x rightwards arrow negative 2 of left parenthesis 3 x plus 2 right parenthesis. left parenthesis x squared minus 5 x minus 4 right parenthesis equals negative 40

Pembahasan

Sifat limit fungsi: Jadi, .

Sifat limit fungsi: limit as x rightwards arrow c of f left parenthesis x right parenthesis. g left parenthesis x right parenthesis equals limit as x rightwards arrow c of f left parenthesis x right parenthesis. space limit as x rightwards arrow c of g left parenthesis x right parenthesis

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of open parentheses 3 x plus 2 close parentheses left parenthesis x squared minus 5 x minus 4 right parenthesis end cell equals cell limit as x rightwards arrow negative 2 of left parenthesis 3 x plus 2 right parenthesis. space limit as x rightwards arrow negative 2 of left parenthesis x squared minus 5 x minus 4 right parenthesis end cell row blank equals cell open parentheses 3 left parenthesis negative 2 right parenthesis plus 2 close parentheses. open parentheses open parentheses negative 2 close parentheses squared minus 5 open parentheses negative 2 close parentheses minus 4 close parentheses end cell row blank equals cell left parenthesis negative 6 plus 2 right parenthesis. left parenthesis 4 plus 10 minus 4 right parenthesis end cell row blank equals cell left parenthesis negative 4 right parenthesis left parenthesis 10 right parenthesis end cell row blank equals cell negative 40 end cell end table end style

Jadi, limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis. g left parenthesis x right parenthesis equals limit as x rightwards arrow negative 2 of left parenthesis 3 x plus 2 right parenthesis. left parenthesis x squared minus 5 x minus 4 right parenthesis equals negative 40

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