x→2limx+2x2+4=....

Pertanyaan

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

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