The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
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Answer:
Step-by-step explanation:
Given
Required
Gaps: -2( )-2( )=8
<em>Fill in in the gaps</em>
The are numerous solutions to this.
One of them is:
Assume y = 0.
So, we have:
Divide through by -2
Fill in the gaps with these values of x and y respectively:
Hence; one solution is:
For this case, we find the equation of the line of the form:
Where:
So, we have:
We substitute one of the points:
Thus, the equation is:
Now, we substitute a point belonging to the region to determine the sign.
(
-3 is less than 0.
Then, the inequality is:
As the border of the region is dotted, then it remains ">."
Answer:
