Question

3. Tentukan nilai limit berikut.
[tex]a.\:lim\frac{{x}^{3}-1}{{x}^{4}-1}\\x>1 [/tex]
[tex]b.\:lim\frac{{x}^{3}-27}{{x}^{3}-{4x}^{2}+3x}\\x>3[/tex]

Answer 1

Jawab:

Penjelasan dengan langkah-langkah:

limit 0/0

soal1

soal 2

lim x-> 3  (x³ - 27)/ (x³- 4x² + 3x)

lim x-> 3  (x - 3)(x²+ x +9)/ { x (x² - 4x + 3)}

lim x-> 3  (x - 3)(x²+ x +9)/ { x ( x - 1)(x - 3)}

lim x-> 3  (x²+ x +9)/ { x (x - 1)}

sun x = 3

lim =  (9 +  9 + 9 )/  { 3( 2)}

lim = 27/6 =  4, 5