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begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x plus x squared minus 2 x cubed over denominator 2 x minus x squared end fraction equals horizontal ellipsis end style 

Pembahasan Video:

Pembahasan Soal:

Untuk begin mathsize 14px style x equals 0 end style maka

begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x plus x squared minus 2 x cubed over denominator 2 x minus x squared end fraction equals fraction numerator 5 left parenthesis 0 right parenthesis plus 0 squared minus 2 left parenthesis 0 right parenthesis cubed over denominator 2 left parenthesis 0 right parenthesis minus 0 squared end fraction equals 0 over 0 end style.

Diperoleh nilai begin mathsize 14px style 0 over 0 end style. Oleh karena itu, harus difaktorkan terlebih dahulu,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x plus x squared minus 2 x cubed over denominator 2 x minus x squared end fraction end cell equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator up diagonal strike x open parentheses 5 plus x minus 2 x squared close parentheses over denominator up diagonal strike x left parenthesis 2 minus x right parenthesis end fraction end cell row blank equals cell fraction numerator 5 plus 0 minus 0 squared over denominator 2 minus 0 end fraction end cell row blank equals cell 5 over 2 end cell row blank equals cell 2 1 half end cell end table end style 

Jadi nilai begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x plus x squared minus 2 x cubed over denominator 2 x minus x squared end fraction equals 2 1 half end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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