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Nilai x→∞lim​4x2+3x+4​−2x+1=.....

Pertanyaan

Nilai limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus 2 x plus 1 equals.....

  1. negative 7 over 4

  2. 0

  3. 3 over 4

  4. 7 over 4

  5. infinity

Pembahasan:

L i m i t space t a k space h i n g g a space b e n t u k space a k a r space colon  limit as x rightwards arrow infinity of invisible function application square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root equals open curly brackets table row cell infinity space space space space space comma u n t u k space a greater than p end cell row cell fraction numerator b minus q over denominator 2 square root of a end fraction comma space u n t u k space a equals p end cell row cell negative infinity space space space space comma space u n t u k space a less than p end cell end table close  U b a h space b e n t u k space l i m i t space d i space s o a l space m e n j a d i space p e n g u r a n g a n space a k a r  limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus 2 x plus 1 equals limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus open parentheses 2 x minus 1 close parentheses  equals limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus square root of open parentheses 2 x minus 1 close parentheses squared end root equals limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus square root of 4 x squared minus 4 x plus 1 end root equals fraction numerator 3 minus open parentheses negative 4 close parentheses over denominator 2 square root of 4 end fraction equals 7 over 4 space left parenthesis D right parenthesis equals limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus square root of open parentheses 2 x minus 1 close parentheses squared end root equals limit as x rightwards arrow infinity of invisible function application square root of 4 x squared plus 3 x plus 4 end root minus square root of 4 x squared minus 4 x plus 1 end root equals fraction numerator 3 minus open parentheses negative 4 close parentheses over denominator 2 square root of 4 end fraction equals 7 over 4 space left parenthesis D right parenthesis

Jawaban terverifikasi

Dijawab oleh:

I. Roy

Mahasiswa/Alumni Universitas Negeri Surabaya

Terakhir diupdate 04 Oktober 2021

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