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Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 1 of invisible function application fraction numerator x squared minus x over denominator x minus 1 end fraction equals horizontal ellipsis 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 1 of fraction numerator x squared minus x over denominator x minus 1 end fraction end cell equals cell fraction numerator 1 squared minus 1 over denominator 1 minus 1 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 1 of fraction numerator x squared minus x over denominator x minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator x left parenthesis x minus 1 right parenthesis over denominator x minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of x end cell row blank equals 1 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 1 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus x over denominator x minus 1 end fraction 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 1 end table end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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