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Nilai dari  adalah ...

Pertanyaan

Nilai dari limit as x rightwards arrow infinity of fraction numerator 2 x squared plus 6 x plus 1 over denominator x squared minus 2 x plus 3 end fraction adalah ...

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 2 x squared plus 6 x plus 1 over denominator x squared minus 2 x plus 3 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 2 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 6 x over denominator x squared end fraction end style plus begin display style 1 over x squared end style over denominator begin display style x squared over x squared end style minus begin display style fraction numerator 2 x over denominator x squared end fraction end style plus begin display style 3 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 2 plus 6 over x plus 1 over x squared end style over denominator begin display style 1 minus 2 over x plus 3 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 2 plus 6 over infinity plus 1 over infinity squared end style over denominator begin display style 1 minus 2 over infinity plus 3 over infinity squared end style end fraction end cell row blank equals cell fraction numerator 2 plus 0 plus 0 over denominator 1 minus 0 plus 0 end fraction end cell row blank equals cell 2 over 1 end cell row blank equals 2 end table

Oleh karena itu, jawaban yang benar adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 Agustus 2021

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