From the given table, we have that the lateral limits of f(x) as x -> 3 are different, hence the limit of f(x) does not exist at x = 3.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value. For the limit to exist, the lateral limits have to be the same, as follows:
In this problem, we have that:
- To the left of x = 3, that is, for values that are less than x = 3, f(x) - > -3.
- To the right of x = 3, that is, for values that are greater than x = 3, f(x) -> 4.
Hence the lateral limits are given as follows:
Since the lateral limits are different, the limit does not exist.
More can be learned about lateral limits at brainly.com/question/26270080
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Answer:
(x - 8)² = 14
Step-by-step explanation:
Given
x² - 16x + 26 = - 24 ( subtract 26 from both sides )
x² - 16x = - 50
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 50 + 64
(x - 8)² = 14
divide completions by percentage
345 / 0.60 = 575 pass attempts
Christy dove to the depth of 12 feet below the surface = -12 feet
(Below sea level means to be below zero, which are negative numbers)
Christy dove 12 feet back up to the surface= +12 feet
( When we come back up to the surface, the distance is taken always positive)
Therefore, we have to find the overall change,
Overall change = -12 feet + 12 feet
= -12 feet + 12 feet
= 0 ft.
Therefore, overall change is 0 ft.
