Why is 0 * INF indeterminate?
In multiplying 0 by infinity, infinity is the multiplier and 0 is the multiplicand. So multiplying zero infinite number of times will give the product zero. Infinite here means indefinitely finite. Therefore, Zero multiplied by infinity is zero, not indeterminate.
What is the value of 0 Power infinity?
one
Answer: Infinity to the power of zero is equal to one.
Is O infinity indeterminate?
A limit confirmed to be infinity is not indeterminate since it has been determined to have a specific value (infinity).
What is the value of infinity Power infinity?
Infinity is one the paradoxes proposed by Zeno of Elea. Infinity itself doesn’t contain a value but portrays a value of a specific requirement countless number of times. Therefore any mathematical operation on Infinity yields infinity, since it has no specific value. Hence your answer is: Infinity.
What is the value of infinity ∞ 0?
∞ 0 – again, if the infinity is “stronger” than the zero, it will be infinite. If the infinity is “weaker” than the zero, it will be 1. If it’s the “strength” or “speed” of the convergence is similar, it will be some number in between. But this one is not undefined, because both limits are actually making each other stronger.
What is the limit of a function at infinity?
By limits at infinity we mean one of the following two limits. lim x→∞ f (x) lim x→−∞f (x) lim x → ∞. . f ( x) lim x → − ∞. . f ( x) In other words, we are going to be looking at what happens to a function if we let x x get very large in either the positive or negative sense.
What is the limit of a function if the degree is 0?
When the Degree of the function is: greater than 0, the limit is infinity (or −infinity) less than 0, the limit is 0. But if the Degree is 0 or unknown then we need to work a bit harder to find a limit.
What happens when x gets to infinity?
We can’t say what happens when x gets to infinity. But we can see that 1 x is going towards 0. We want to give the answer “0” but can’t, so instead mathematicians say exactly what is going on by using the special word “limit”. The limit of 1 x as x approaches Infinity is 0. And write it like this: lim x→∞ ( 1 x) = 0.