Hitunglah nilai limit di bawah ini: x→1lim​ x2+5x−6x−1​

Pertanyaan

Hitunglah nilai limit di bawah ini:

limit as x rightwards arrow 1 of invisible function application space fraction numerator x minus 1 over denominator x squared plus 5 x minus 6 end fraction

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

nilai dari limit as x rightwards arrow 1 of invisible function application space fraction numerator x minus 1 over denominator x squared plus 5 x minus 6 end fraction adalah 1 over 7.

Pembahasan

Untuk menyelesaikan limit di atas, sederhanakan bentuk fungsi dengan memfaktorkannya, lalu gunakan metode substitusi untuk mencari nilai limitnya.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of invisible function application space fraction numerator x minus 1 over denominator x squared plus 5 x minus 6 end fraction end cell equals cell limit as x rightwards arrow 1 of invisible function application space fraction numerator x minus 1 over denominator open parentheses x minus 1 close parentheses open parentheses x plus 6 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 1 of invisible function application space fraction numerator 1 over denominator open parentheses x plus 6 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator 1 plus 6 end fraction end cell row blank equals cell 1 over 7. end cell end table

Dengan demikian, nilai dari limit as x rightwards arrow 1 of invisible function application space fraction numerator x minus 1 over denominator x squared plus 5 x minus 6 end fraction adalah 1 over 7.

36

0.0 (0 rating)

Pertanyaan serupa

Nilai dari x→−2lim​ x+22x2−8​ adalah ....

64

3.5

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia