Pertanyaan

Nilai x → 1 lim x − 1 x 10 − 1 adalah ...

Nilai $x \to 1 lim \frac{x ^{10} - 1}{x - 1}$ adalah ...

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x to the power of 10 minus 1 over denominator x minus 1 end fraction equals limit as x rightwards arrow 1 of fraction numerator open parentheses x to the power of 9 plus x to the power of 8 plus x to the power of 7 plus x to the power of 6 plus x to the power of 5 plus x to the power of 4 plus x cubed plus x squared plus x plus 1 close parentheses open parentheses x minus 1 close parentheses over denominator x minus 1 end fraction space space space space space space space space space space space space space space space space space space space space space equals 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 space space space space space space space space space space space space space space space space space space space space space equals 10 end style$