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Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x squared plus 8 x minus 3 end style. Tunjukkan bahwa begin mathsize 14px style limit as x rightwards arrow 3 of invisible function application f left parenthesis x right parenthesis equals f left parenthesis 3 right parenthesis end style 

Pembahasan Video:

Pembahasan Soal:

 begin mathsize 14px style f open parentheses x close parentheses equals x squared plus 8 x minus 3 end style, tunjukkan bahwa: begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of 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 cell f left parenthesis 3 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of f left parenthesis x right parenthesis end cell row blank equals cell limit as x rightwards arrow 3 of x squared plus 8 x minus 3 end cell row blank equals cell 3 squared plus 8 times 3 minus 3 end cell row blank equals cell 9 plus 24 minus 3 end cell row blank equals 30 row blank blank blank end table end style

Sedangkan,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 3 right parenthesis end cell equals cell 3 squared plus 8 times 3 minus 3 end cell row blank equals cell 9 plus 24 minus 3 end cell row blank equals 30 end table end style 

Terbukti!

Jadi, terbukti bahwa begin mathsize 14px style limit as x rightwards arrow 3 of invisible function application f left parenthesis x right parenthesis equals f left parenthesis 3 right parenthesis end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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