Answer to Question #206166 in Calculus for JAN

Question

 Lim (3𝑥 − 𝑥 2 )

Answer 1

$$\lim\limits_{x\to-\infin}(3x-x^2)=\lim\limits_{x\to-\infin}(x)\lim\limits_{x\to-\infin}(3-x)=-\infin$$

$$\lim\limits_{x\to\infin}(3x-x^2)=\lim\limits_{x\to\infin}(x)\lim\limits_{x\to\infin}(3-x)=-\infin$$

$$\lim\limits_{x\to0}(3x-x^2)=3(0)-(0)^2=0$$

$$\lim\limits_{x\to a}(3x-x^2)=3a-a^2,\ a\not=\pm\infin$$