Pertanyaan

Tentukan: x → 1 lim 3 x 3 − 2 x 2 − 4 x + 12 4 x 4 − 45 x − 1

Tentukan:

$x \to 1 lim \frac{4 x ^{4} - 45 x - 1}{3 x ^{3} - 2 x ^{2} - 4 x + 12}$

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Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator 4 x to the power of 4 minus 45 x minus 1 over denominator 3 x cubed minus 2 x squared minus 4 x plus 12 end fraction end style$ adalah

Pembahasan

Jadi, nilai adalah .

$begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator 4 x to the power of 4 minus 45 x minus 1 over denominator 3 x cubed minus 2 x squared minus 4 x plus 12 end fraction end style$

$begin mathsize 14px style equals fraction numerator 4 open parentheses 1 close parentheses to the power of 4 minus 45 open parentheses 1 close parentheses minus 1 over denominator 3 open parentheses 1 close parentheses cubed minus 2 open parentheses 1 close parentheses squared minus 4 open parentheses 1 close parentheses plus 12 end fraction equals fraction numerator 4 minus 45 minus 1 over denominator 3 minus 2 minus 4 plus 12 end fraction equals fraction numerator negative 42 over denominator 9 end fraction equals negative 14 over 3 end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator 4 x to the power of 4 minus 45 x minus 1 over denominator 3 x cubed minus 2 x squared minus 4 x plus 12 end fraction end style$ adalah .