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Tentukan nilai dari limit as x rightwards arrow infinity of fraction numerator x squared plus x plus 1 over denominator 4 x squared plus 5 end fraction 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari limit tersebut adalah 1 fourth

Pembahasan

Untuk mengitung limit tak hingga, harus dibagi menggunakan pembagian pecahan dengan pangkat terbesar.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator x squared plus x plus 1 over denominator 4 x squared plus 5 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style x squared over x squared end style plus begin display style x over x squared end style plus begin display style 1 over x squared end style over denominator begin display style fraction numerator 4 x squared over denominator x squared end fraction end style plus begin display style 5 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 1 plus 1 over x plus 1 over x squared end style over denominator begin display style 4 plus 5 over x squared end style end fraction end cell row blank equals cell fraction numerator 1 plus 0 plus 0 over denominator 4 plus 0 end fraction end cell row blank equals cell 1 fourth end cell end table 

Jadi, nilai dari limit tersebut adalah 1 fourth

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