Lim x²-3x X-3 ------ =....... M x⁴-9x² Menggunakan cara faktorisasi

[tex]$\begin{align}\lim_{x\to3}\frac{x^2-3x}{x^4-9x^2}&=\lim_{x\to3}\frac{x^2-3x}{(x^2-3x)(x^2+3x)}\\&=\lim_{x\to3}\frac1{x^2+3x}\\&=\frac1{3^2+3(3)}\\&=\frac1{9+9}\\&=\boxed{\frac1{18}}\end[/tex]

langsung aja y

lim x²-3x / x⁴-9x²
x→3

lim x²-3x / (x²-3x)(x²+3x)
x→3

lim 1 / x²+3x
x→3

= 1 / 3² + 3(3)
= 1 / 9 + 9
= 1 / 18

semoga berguna +_+