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Tentukan nilai dari

Pertanyaan

Tentukan nilai dari begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator 3 minus square root of 9 minus x end root end fraction end style 

Pembahasan Video:

Pembahasan Soal:

Subtitusi nilai x:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x over denominator 3 minus square root of 9 minus x end root end fraction end cell equals cell fraction numerator 0 over denominator 3 minus square root of 9 minus 0 end root end fraction end cell row blank equals cell 0 over 0 end cell end table end style

Karena hasil tidak terdefinisi, maka difaktorkan sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x over denominator 3 minus square root of 9 minus x end root end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator x over denominator 3 minus square root of 9 minus x end root end fraction times fraction numerator 3 plus square root of 9 minus x end root over denominator 3 plus square root of 9 minus x end root end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator x left parenthesis 3 plus square root of 9 minus x end root right parenthesis over denominator 9 minus left parenthesis 9 minus x right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator x left parenthesis 3 plus square root of 9 minus x end root right parenthesis over denominator x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of 3 plus square root of 9 minus x end root end cell row blank equals cell 3 plus square root of 9 minus 0 end root end cell row blank equals cell 3 plus 3 end cell row blank equals 6 end table end style 

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x over denominator 3 minus square root of 9 minus x end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table 6 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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