What is an infinite amount of numbers multiplied together an infinite amount of times?
It would still be infinity.
depends on the numbers
The concept you're referring to is known as an infinite product. An infinite product is the result of multiplying an infinite number of terms together.
To understand this better, let's consider an example. One of the most famous infinite products is the product of all positive integers. Mathematically, it can be written as:
1 × 2 × 3 × 4 × 5 × ...
This product can be represented using the capital Greek letter "Pi" (∏). So the equation becomes:
∏(n=1 to ∞) n
This infinite product is divergent, meaning it does not have a finite value. It grows without bound as you include more and more terms. The idea of multiplying an infinite number of numbers together poses some interesting mathematical challenges and requires advanced techniques like calculus to determine its behavior.
It's worth noting that different infinite products can have different behaviors. Some converge to a finite value, while others diverge. The nature of convergence or divergence depends on the specific terms being multiplied together.