The limit of the given function if 
is 64
<h3>Limit of a function</h3>
Given the following limit of a function expressed as;
We are to determine the value of the function
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4)
This can also be expressed as
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D%284%29%5E4%20%5C%5C%3D1%2F4%5Ctimes%20256%5C%5C%3D64)
Hence the limit of the given function if is 64
Learn more on limit of a function here: brainly.com/question/23935467
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Answer: $244.83
Step-by-step explanation:
First find the original amount spent on dvds:
$12.95 * 4 = $51.80
Then, the sales tax (6.5% is converted to decimal form by dividing by 100):
$51.80 * 0.065 = $3.367
Add the sales tax to the original amount to get the total amount spent:
$51.80 + $3.367 = $55.167
Round to the nearest hundredth:
$55.167 -> $55.17
Subtract the total amount from the money received for his birthday:
$300 - $55.17 = $244.83
The only system that has infinitely many solutions is NUMBER 2. Where you solve a system, and both sides end up being 0=0, then the system will have infinitely many solutions. Well, in these four choices, Number 2 is the only one that ends up being 0=0 after I solved it.
Answer:
e. All of these statements are true.
Step-by-step explanation:
The first statement is true because an experiment is actually the process by which an observation is made. Consider rolling a die. It is called an experiment because we observe which side of the die lands facing upwards and that number is noted.
The second statement is also true because a simple event is the one which can not be further decomposed into an event. (Compound events can be decomposed into simple events).
The third statement is also true that an event is the collection of one or more simple events. An event can contain either simple events of compound events which are basically a combination of two or more simple events.
Hence, we can say that <u>all the statements are true</u>.
