Pertanyaan

x → 0 lim 2 x 2 − 3 x 2 x 3 − 5 x 2 + 3 x = ...

$x \to 0 lim \frac{2 x ^{3} - 5 x ^{2} + 3 x}{2 x ^{2} - 3 x} =$ ...

-2
-1
0
1
2

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 0 of space fraction numerator 2 x cubed minus 5 x squared plus 3 x over denominator 2 x squared minus 3 x end fraction equals limit as x rightwards arrow 0 of space fraction numerator up diagonal strike x open parentheses 2 x squared minus 5 x plus 3 close parentheses over denominator up diagonal strike x open parentheses 2 x minus 3 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of space fraction numerator open parentheses 2 x squared minus 5 x plus 3 close parentheses over denominator open parentheses 2 x minus 3 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 open parentheses 0 close parentheses squared minus 5 open parentheses 0 close parentheses plus 3 over denominator 2 open parentheses 0 close parentheses minus 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 over denominator negative 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 1 end style$