Pertanyaan

Tentukannilai limit berikut! x → 3 lim 2 x − 3 x − 3 x − 3

Tentukan nilai limit berikut!

$x \to 3 lim \frac{x - 3}{2 x - 3 x - 3}$

....
....

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator 2 x minus square root of 3 square root of x minus 3 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses square root of x minus square root of 3 close parentheses open parentheses square root of x plus square root of 3 close parentheses over denominator open parentheses 2 square root of x plus square root of 3 close parentheses open parentheses square root of x minus square root of 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator square root of x plus square root of 3 over denominator 2 square root of x plus square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 3 plus square root of 3 over denominator 2 square root of 3 plus square root of 3 end fraction end cell row blank equals cell fraction numerator 2 square root of 3 over denominator 3 square root of 3 end fraction end cell row blank equals cell 2 over 3 end cell end table end style$

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