Q 11. - Calculus

Question

Write each of the inequalities in interval notation:

$\left|f\left(x\right)-L\right|<\in$

Step-by-Step Solution

Answer

Answer is $\left(L-\in ,L+\in \right)$

Step 1. Given infromation

An inequality is $\left|f\left(x\right)-L\right|<\in$

Step 2. Explanation

$\begin{array}{rcl}\left|f\left(x\right)-L\right|& <& \in \\ L-& \in & <f\left(x\right)<L+\in \\ & & \end{array}$

Solution in interval notation is $\left(L-\in ,L+\in \right)$