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 x plus 1 over denominator 4 x squared plus 3 x end fraction end style 

Jawaban:

begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 2 x plus 1 over denominator 4 x squared plus 3 x end fraction equals limit as x rightwards arrow infinity of fraction numerator fraction numerator 2 x over denominator x squared end fraction plus 1 over x squared over denominator fraction numerator 4 x squared over denominator x squared end fraction plus fraction numerator 3 x over denominator x squared end fraction 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 equals limit as x rightwards arrow infinity of fraction numerator 2 over x plus 1 over x squared over denominator 4 plus 3 over x 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 equals fraction numerator 0 plus 0 over denominator 4 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 equals 0 over 4 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 0 end style 

Jadi, nilai limit tersebut adalah 0.

0

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