how would you express, mathematically, the limit of the function f(x) = x² - x + 2 as x approaches 3?\na…
how would you express, mathematically, the limit of the function f(x) = x² - x + 2 as x approaches 3?\na. limₓ→₋₃(x² - x + 2)\nb. limₓ→₃(x² - x)\nc. limₓ→₂(x² - x + 2)\nd. limₓ→₃(x² - x + 2)\nreset selection
Answer
Explanation:
Step1: Recall limit notation
The limit of a function $f(x)$ as $x$ approaches $a$ is written as $\lim_{x\rightarrow a}f(x)$. Here $f(x)=x^{2}-x + 2$ and $a = 3$.
Step2: Identify correct option
We need $\lim_{x\rightarrow 3}(x^{2}-x + 2)$.
Answer:
D. $\lim_{x\rightarrow 3}(x^{2}-x + 2)$