(Solved): 2. For the graph of a given function \( f(x) \), find the smallest value of \( \delta \) such that ...

2. For the graph of a given function \( f(x) \), find the smallest value of \( \delta \) such that \( |f(x)-L|<\varepsilon \) whenever \( |x-a|< \) \( \delta \). Also, indicate \( \delta \) on the graph. a. \( |f(x)-1.4|<0.2 \) whenever \( |x-2|<\delta \). The smallest value of \( \delta= \) ? b. \( |f(x)-1|<0.4 \) whenever \( |x-a|<\delta \). The smallest value of \( \delta= \) ? "What would be the appropriate value of \( a \) here?