Pertanyaan

Tentukan nilai dari x → 0 lim 6 x 3 + x 2 + 4 x − 4 x 3 + 3 x 2 − 2 x !

Tentukan nilai dari $x \to 0 lim \frac{- 4 x ^{3} + 3 x ^{2} - 2 x}{6 x ^{3} + x ^{2} + 4 x}$ $!$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator negative 4 x cubed plus 3 x squared minus 2 x over denominator 6 x cubed plus x squared plus 4 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator negative x open parentheses 4 x squared minus 3 x plus 2 close parentheses over denominator x open parentheses 6 x squared plus x plus 4 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator negative open parentheses 4 x squared minus 3 x plus 2 close parentheses over denominator open parentheses 6 x squared plus x plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator negative open parentheses 4 open parentheses 0 close parentheses squared minus 3 open parentheses 0 close parentheses plus 2 close parentheses over denominator open parentheses 6 open parentheses 0 close parentheses squared plus 0 plus 4 close parentheses end fraction end cell row blank equals cell negative 2 over 4 end cell row blank equals cell negative 1 half end cell end table end style$