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Pertanyaan

Tentukan:

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

Pembahasan Soal:

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

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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