Hitunglah nilai limit berikut! 4. x→1limx−1x2+4x−5=....

Pertanyaan

Hitunglah nilai limit berikut!

4. $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x squared plus 4 x minus 5 over denominator x minus 1 end fraction equals.... end style$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

Jika substitusi langsung akan diperoleh bentuk sehingga untuk menentukan nilai limit berikut kita bisa menggunakan metode pemfaktoran,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x squared plus 4 x minus 5 over denominator x minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator open parentheses x minus 1 close parentheses open parentheses x plus 5 close parentheses over denominator x minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator up diagonal strike left parenthesis x minus 1 right parenthesis end strike left parenthesis x plus 5 right parenthesis over denominator up diagonal strike open parentheses x minus 1 close parentheses end strike end fraction end cell row blank equals cell limit as x rightwards arrow 1 of x plus 5 end cell row blank equals cell 1 plus 5 end cell row blank equals 6 end table end style$