Answer
$1.5$
Work Step by Step
$x$ is "approaching $+\infty$" means that $x$ is getting larger and larger without bound.
See the table below.
As we make $x$ greater and greater, the function value approaches the value $1.5$.
So, we write:
$\displaystyle \lim_{x\rightarrow\infty}\frac{3x^{2}+10x-1}{2x^{2}-5x}=1.5$
