Answer
$-1$
Work Step by Step
Use the limit property for a polynomial
$ \lim\limits_{x \to c} a f(x)=a f(c) $
where $a$ is a constant.
$\lim\limits_{x \to 1} (5x^4-3x^2+6x-9) \\ =(5) \lim\limits_{x \to 1} x^4 - (3) \lim\limits_{x \to 1} x^2+(6) \lim\limits_{x \to 1} x-\lim\limits_{x \to 1} (9) \\=5(1)^4-3(1)^2+6(1)-9 \\ =5-3+6-9 \\=-12+11\\=-1$
