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begin mathsize 14px style limit as x rightwards arrow negative 3 of invisible function application fraction numerator 3 x squared plus 8 x minus 3 over denominator 2 x squared plus 5 x minus 3 end fraction equals horizontal ellipsis end style 

Pembahasan Video:

Pembahasan Soal:

Untuk begin mathsize 14px style x equals negative 3 end style, maka

begin mathsize 14px style limit as x rightwards arrow negative 3 of invisible function application fraction numerator 3 x squared plus 8 x minus 3 over denominator 2 x squared plus 5 x minus 3 end fraction equals fraction numerator 3 left parenthesis negative 3 right parenthesis squared plus 8 left parenthesis negative 3 right parenthesis minus 3 over denominator 2 left parenthesis negative 3 right parenthesis squared plus 5 left parenthesis negative 3 right parenthesis minus 3 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 negative 3 of invisible function application fraction numerator 3 x squared plus 8 x minus 3 over denominator 2 x squared plus 5 x minus 3 end fraction end cell equals cell limit as x rightwards arrow negative 3 of fraction numerator left parenthesis 3 x minus 1 right parenthesis up diagonal strike left parenthesis x plus 3 right parenthesis end strike over denominator left parenthesis 2 x minus 1 right parenthesis up diagonal strike left parenthesis x plus 3 right parenthesis end strike end fraction end cell row blank equals cell fraction numerator 3 left parenthesis negative 3 right parenthesis minus 1 over denominator 2 left parenthesis negative 3 right parenthesis minus 1 end fraction end cell row blank equals cell fraction numerator negative 9 minus 1 over denominator negative 6 minus 1 end fraction end cell row blank equals cell fraction numerator negative 10 over denominator negative 7 end fraction end cell row blank equals cell 1 3 over 7 end cell end table end style 

Jadi, nilai begin mathsize 14px style limit as x rightwards arrow negative 3 of space fraction numerator 3 x squared plus 8 x minus 3 over denominator 2 x squared plus 5 x minus 3 end fraction equals 1 3 over 7 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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