Pertanyaan

x → ∞ lim 10 x 4 − 4 x 3 + 5 5 x 3 + 7 x 2 − 9

$x \to \infty lim \frac{5 x ^{3} + 7 x ^{2} - 9}{10 x ^{4} - 4 x ^{3} + 5}$

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Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari $begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 5 x cubed plus 7 x squared minus 9 over denominator 10 x to the power of 4 minus 4 x cubed plus 5 end fraction end style$ adalah begin mathsize 14px style 0 end style

Pembahasan

Limit merupakan sebuah konsep matematika dimana sesuatu dikatakan "hampir" atau "mendekati" nilai suatu bilangan tertentu. Jadi, nilai dari adalah .

Limit merupakan sebuah konsep matematika dimana sesuatu dikatakan "hampir" atau "mendekati" nilai suatu bilangan tertentu.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 5 x cubed plus 7 x squared minus 9 over denominator 10 x to the power of 4 minus 4 x cubed plus 5 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 5 x cubed over denominator x to the power of 4 end fraction plus fraction numerator 7 x squared over denominator x to the power of 4 end fraction minus 9 over x to the power of 4 end style over denominator begin display style fraction numerator 10 x to the power of 4 over denominator x to the power of 4 end fraction end style minus begin display style fraction numerator 4 x cubed over denominator x to the power of 4 end fraction end style plus begin display style 5 over x to the power of 4 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 5 over x end style plus begin display style 7 over x squared end style minus begin display style 9 over x to the power of 4 end style over denominator 10 minus begin display style 4 over x end style plus begin display style 5 over x to the power of 4 end style end fraction end cell row blank equals cell fraction numerator 0 plus 0 minus 0 over denominator 10 minus 0 plus 0 end fraction end cell row blank equals cell 0 over 10 end cell row blank equals 0 end table$

Jadi, nilai dari $begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 5 x cubed plus 7 x squared minus 9 over denominator 10 x to the power of 4 minus 4 x cubed plus 5 end fraction end style$ adalah begin mathsize 14px style 0 end style .