review the graph of function h(x). what is lim h(x), if it exists? 0 1 3 dne

Explanation:

Step1: Recall the definition of the limit

The limit of a function (y = f(x)) as (x\to a) is the value that (f(x)) approaches as (x) gets arbitrarily close to (a) (but not equal to (a)). We need to check the left - hand limit and the right - hand limit as (x\to3).

Step2: Analyze the left - hand limit

As (x) approaches (3) from the left - hand side ((x\lt3)), we follow the blue part of the graph.

Step3: Analyze the right - hand limit

As (x) approaches (3) from the right - hand side ((x > 3)), we follow the orange part of the graph. Since the left - hand limit and the right - hand limit do not approach the same value (the left - hand limit is not equal to the right - hand limit as (x\to3)), the limit (\lim_{x\to3}f(x)) does not exist.

Answer:

DNE