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x → ∞ lim ​ 5 x 3 + 14 x 2 − 7 x + 2 4 x 3 − 3 x 2 + 2 x − 1 ​ = ....

....

  1. begin mathsize 14px style 4 over 5 end style 

  2. begin mathsize 14px style 2 over 3 end style 

  3. begin mathsize 14px style 1 half end style 

  4. begin mathsize 14px style 3 over 4 end style 

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table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 4 x cubed minus 3 x squared plus 2 x minus 1 over denominator 5 x cubed plus 14 x squared minus 7 x plus 2 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator 4 x cubed minus 3 x squared plus 2 x minus 1 over denominator 5 x cubed plus 14 x squared minus 7 x plus 2 end fraction cross times fraction numerator begin display style 1 over x cubed end style over denominator 1 over x cubed end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator 4 minus begin display style 3 over x end style plus begin display style 2 over x squared end style minus begin display style 1 over x cubed end style over denominator 5 plus begin display style 14 over x end style minus begin display style 7 over x squared end style plus begin display style 2 over x cubed end style end fraction end cell row blank equals cell fraction numerator 4 minus 0 plus 0 minus 0 over denominator 5 plus 0 minus 0 plus 0 end fraction end cell row blank equals cell 4 over 5 end cell end table

Oleh karena itu, jawaban yang benar adalah A.

 

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Diketahui g 1 ​ ( x ) = x 2 , g 2 ​ ( x ) = x 4 , dan g 3 ​ ( x ) = x 6 . Buatlah tabel nilai atau sketsa grafik fungsi dari fungsi-fungsi tersebut lalu tentukan nilai x → ∞ lim ​ g ( x ) dan x → − ∞ ...

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