x→2lim​x+2x2+4​=....

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x squared plus 4 over denominator x plus 2 end fraction equals.... end style 

  1. ...undefined 

  2. ...undefined 

P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh begin mathsize 14px style lim with italic x yields 2 below fraction numerator italic x squared plus 4 over denominator italic x plus 2 end fraction equals 2 end style

Pembahasan

Dengan substitusi langsung nilai limit yang diminta dapat ditentukan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus 4 over denominator x plus 2 end fraction end cell equals cell fraction numerator 2 squared plus 4 over denominator 2 plus 2 end fraction end cell row blank equals cell fraction numerator 4 plus 4 over denominator 4 end fraction end cell row blank equals cell 8 over 4 end cell row blank equals 2 end table end style 

Dengan demikian diperoleh begin mathsize 14px style lim with italic x yields 2 below fraction numerator italic x squared plus 4 over denominator italic x plus 2 end fraction equals 2 end style

248

4.8 (8 rating)

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