Pertanyaan

Tentukan nilai x → 1 lim x − 1 x 2 + 2 x − 3 adalah ....

Tentukan nilai $x \to 1 lim \frac{x ^{2} + 2 x - 3}{x - 1}$ adalah ....

K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

nilai adalah 4.

nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack bold l bold i bold m with bold x bold rightwards arrow bold 1 below end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator bold x to the power of bold 2 bold plus bold 2 bold x bold minus bold 3 over denominator bold x bold minus bold 1 end fraction end cell end table end style$ adalah 4.

Pembahasan

Jadi, nilai adalah 4.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x squared plus 2 x minus 3 over denominator x minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator left parenthesis x minus 1 right parenthesis left parenthesis x plus 3 right parenthesis over denominator x minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of left parenthesis x plus 3 right parenthesis end cell row blank equals cell 1 plus 3 end cell row blank equals 4 end table end style$

Jadi, nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack bold l bold i bold m with bold x bold rightwards arrow bold 1 below end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator bold x to the power of bold 2 bold plus bold 2 bold x bold minus bold 3 over denominator bold x bold minus bold 1 end fraction end cell end table end style$ adalah 4.