3. $f(x)=\frac{3}{5}x - 2$ for $x\to+infty$

3. $f(x)=\frac{3}{5}x - 2$ for $x\to+infty$

3. $f(x)=\frac{3}{5}x - 2$ for $x\to+infty$

Answer

Explanation:

Step1: Analyze the function form

The function $f(x)=\frac{3}{5}x - 2$ is a linear function of the form $y = mx + b$, where $m=\frac{3}{5}$ and $b=-2$.

Step2: Consider the limit as $x\to+\infty$

For a linear function $y = mx + b$ with $m>0$, as $x\to+\infty$, $y\to+\infty$. Here $m = \frac{3}{5}>0$. So $\lim_{x\to+\infty}(\frac{3}{5}x - 2)=+\infty$.

Answer:

$+\infty$