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Diketahui f ( x ) = x 2 − 5 x + 10 dan g ( x ) = 7 x − 2 . Tentukan: c. x → 2 lim ​ ( f ( x ) ⋅ g ( x ))

Diketahui  dan . Tentukan:

c.  

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P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f left parenthesis x right parenthesis times g left parenthesis x right parenthesis right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 48 end table end style

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Pembahasan

Berdasarkan informasi pada soal dapat ditentukan: Sehingga dapat ditentukan: Dengan demikian, diperoleh .

Berdasarkan informasi pada soal dapat ditentukan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis end cell equals cell limit as x rightwards arrow 2 of space x squared minus 5 x plus 10 end cell row blank equals cell 2 squared minus 5 times 2 plus 10 end cell row blank equals 4 row blank blank blank row cell limit as x rightwards arrow 2 of space g left parenthesis x right parenthesis end cell equals cell limit as x rightwards arrow 2 of space 7 x minus 2 end cell row blank equals cell 7 times 2 minus 2 end cell row blank equals cell 14 minus 2 end cell row blank equals 12 end table end style 

Sehingga dapat ditentukan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space left parenthesis f left parenthesis x right parenthesis times g left parenthesis x right parenthesis right parenthesis end cell equals cell limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis times limit as x rightwards arrow 2 of space g left parenthesis x right parenthesis end cell row blank equals cell 4 times 12 end cell row blank equals 48 end table end style

Dengan demikian, diperoleh begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f left parenthesis x right parenthesis times g left parenthesis x right parenthesis right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 48 end table end style

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