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Nilai dari  adalah ....

Pertanyaan

Nilai dari begin mathsize 14px style stack l i m with x rightwards arrow infinity below open parentheses 3 minus x plus fraction numerator x squared minus 2 x over denominator x plus 5 end fraction close parentheses end style adalah ....

  1. ...begin mathsize 14px style space end style 

  2. ...begin mathsize 14px style space end style 

Pembahasan Soal:

Nilai dari suatu limit fungsi aljabar mendekati tak hingga, dapat dilakukan dengan membagi pembilang dan penyebut dengan pangkat tertinggi.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack l i m with x rightwards arrow infinity below open parentheses 3 minus x plus fraction numerator x squared minus 2 x over denominator x plus 5 end fraction close parentheses end cell row blank equals cell stack l i m with x rightwards arrow infinity below open square brackets fraction numerator left parenthesis 3 minus x right parenthesis left parenthesis x plus 5 right parenthesis plus open parentheses x squared minus 2 x close parentheses over denominator x plus 5 end fraction close square brackets end cell row blank equals cell stack l i m with x rightwards arrow infinity below open square brackets fraction numerator left parenthesis negative x squared minus 2 x plus 15 right parenthesis plus open parentheses x squared minus 2 x close parentheses over denominator x plus 5 end fraction close square brackets end cell row blank equals cell stack l i m with x rightwards arrow infinity below open parentheses fraction numerator negative 4 x plus 15 over denominator x plus 5 end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator begin display style fraction numerator negative 4 x over denominator x end fraction plus 15 over x end style over denominator begin display style x over x plus 5 over x end style end fraction close parentheses end cell row blank equals cell fraction numerator negative 4 plus 0 over denominator 1 plus 0 end fraction end cell row blank equals cell negative 4 end cell end table end style

Jadi, nilai dari begin mathsize 14px style stack l i m with x rightwards arrow infinity below open parentheses 3 minus x plus fraction numerator x squared minus 2 x over denominator x plus 5 end fraction close parentheses end style adalah begin mathsize 14px style negative 4 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Maret 2021

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