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Tentukan nilai limit fungsi berikut ini: b)    x→0lim​x2+4x+12x3−16x+24​

Pertanyaan

Tentukan nilai limit fungsi berikut ini:

b)    begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction end style  

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction equals 2 end style 

Pembahasan

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 x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction end cell equals cell fraction numerator limit as x rightwards arrow 0 of x cubed minus 16 x plus 24 over denominator limit as x rightwards arrow 0 of x squared plus 4 x plus 12 end fraction end cell row blank equals cell fraction numerator 0 cubed minus 16 times 0 plus 24 over denominator 0 squared plus 4 times 0 plus 12 end fraction end cell row blank equals cell 24 over 12 end cell row blank equals 2 end table end style 
 

Jadi, begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction equals 2 end style 

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