Chapter 9.2, Problem 2E

please give a detailed description as to how i can solve this without using a calculator

What is a limit, and how is it used to describe the behavior of a function as the input approaches a certain value?

(11 points) Use the given graph of the function g to find the following limits: 1. lim g(x): = x→2 2. lim g(x) = x→2+ 3. lim g(x) = x→2 4. lim g(x) = x→0 5. g(2) = 110 help (limits)

Find the limit 3x lim0 tan(5x)

II.b Using graph approach. For each item, graph the function f(x). Use the graph to estimate lim f(x), lim f(x), and lim f(x). (x- 2, u? - 4, x<-3 1. S(x) = } a = -3 x2-3' 2. f(x) =: a = 6

What is lim1 f(x) ?

Why is it important to know the concept of limits and limit of a function? Explain thoroughly