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Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 5 x plus 10 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 7 x minus 2 end style. Tentukan:

a. begin mathsize 14px style limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis space dan space limit as x rightwards arrow 2 of space g left parenthesis x right parenthesis end style 

P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh nilai limit 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 space f left parenthesis x 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 4 end table end style dan 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 space g left parenthesis x 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 12 end table end style.

Pembahasan

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 

Dengan demikian, diperoleh nilai limit 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 space f left parenthesis x 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 4 end table end style dan 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 space g left parenthesis x 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 12 end table end style.

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