Roboguru

Nilai

Pertanyaan

Nilai limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction equals....

Pembahasan Soal:

Karena limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction ketika disubstitusikan nilai x equals 0 spacebernilai 0 over 0 comma maka cara untuk menentukan nilai limitnya dengan cara pemfaktoran yaitu

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator up diagonal strike x left parenthesis 13 x squared plus 14 x minus 20 right parenthesis over denominator up diagonal strike x left parenthesis 3 x minus 5 right parenthesis end fraction end cell row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator 13 x squared plus 14 x minus 20 over denominator 3 x minus 5 end fraction end cell row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals cell fraction numerator 13 open parentheses 0 close parentheses squared plus 14 open parentheses 0 close parentheses minus 20 over denominator 3 open parentheses 0 close parentheses minus 5 end fraction end cell row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals cell fraction numerator 0 plus 0 minus 20 over denominator 0 minus 5 end fraction end cell row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals cell fraction numerator negative 20 over denominator negative 5 end fraction end cell row cell limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction end cell equals 4 end table


Jadi nilai limit as x rightwards arrow 0 of fraction numerator 13 x cubed plus 14 x squared minus 20 x over denominator 3 x squared minus 5 x end fraction equals 4.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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