Roboguru

Tentukan limit tak hingga berikut.

Tentukan limit tak hingga berikut.

begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 2 plus 2 x plus x cubed over denominator 5 x cubed plus 2 x squared plus 1 end fraction end style 

Jawaban:

begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 2 plus 2 x plus x cubed over denominator 5 x cubed plus 2 x squared plus 1 end fraction equals limit as x rightwards arrow infinity of fraction numerator 2 over x cubed plus fraction numerator 2 x over denominator x cubed end fraction plus x cubed over x cubed over denominator fraction numerator 5 x cubed over denominator x cubed end fraction plus fraction numerator 2 x squared over denominator x cubed end fraction plus 1 over x cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow infinity of fraction numerator 2 over x cubed plus fraction numerator 2 over denominator x 2 end fraction plus 1 over denominator 5 plus 2 over x plus 1 over x cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 0 plus 0 plus 1 over denominator 5 plus 0 plus 0 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals begin inline style begin display style 1 fifth end style end style end style 

Jadi, nilai limitnya adalah begin mathsize 14px style 1 fifth end style

0

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