use the graph to find the following limits and function value for each value of a. i) $ \lim_{x \to a^-} f(x) $ ii) $ \lim_{x \to a^+} f(x) $ iii) $ \lim_{x \to a} f(x) $ iv) $ f(a) $, if it exists. a. for $ a = 1 $ b. for $ a = -1 $

a. i) select the correct choice below and, if necessary, fill in the answer box within your choice.

$ \boldsymbol{\circ} $ a. $ \lim_{x \to 1^-} f(x) = \square $ (type an integer or a decimal.)
$ \circ $ b. the limit does not exist.

Question

use the graph to find the following limits and function value for each value of a. i) $ \lim_{x \to a^-} f(x) $ ii) $ \lim_{x \to a^+} f(x) $ iii) $ \lim_{x \to a} f(x) $ iv) $ f(a) $, if it exists. a. for $ a = 1 $ b. for $ a = -1 $

a. i) select the correct choice below and, if necessary, fill in the answer box within your choice.

$ \boldsymbol{\circ} $ a. $ \lim_{x \to 1^-} f(x) = \square $ (type an integer or a decimal.)
$ \circ $ b. the limit does not exist.

Accepted Answer

# Explanation:
## Step1: Analyze left - hand limit as $x
ightarrow1^{-}$
To find $\lim_{x
ightarrow1^{-}}f(x)$, we look at the behavior of the function as $x$ approaches $1$ from the left - hand side (values of $x$ less than $1$). From the graph, the part of the function for $x < 1$ (the left - hand part near $x = 1$) is a line segment. As $x$ approaches $1$ from the left, we can see that the $y$ - value that the function approaches is $5$ (by looking at the graph, the open circle and the trend of the line from the left side of $x = 1$).
# Answer:
$\lim_{x
ightarrow1^{-}}f(x)=5$

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Question

Explanation:

Step1: Analyze left - hand limit as \(x

Answer: