What is 0 raised to the power of infinity?
If you take the limit of 0^n as n tends to infinity, it is zero. But those are rare cases, and even then 0^∞ is still technically not equal to 0, it just gets very very close to it. So you see, infinity is a very interesting thing because it is so tangible and so abstract at the same time.
What is the value of 1 raise to the power infinity?
And when x equals to zero it is 1. That’s why 1 to power infinity is said to be indeterminate form of limit. As you mentioned in the question 1 to the power infinity ( I.e it is not the limiting case ) so answer will be 1.
What is minus 1 to the power infinity?
The answer for this question is UNDEFINED. it is one of the seven undefined cases in mathematics. in answer to this question you can write UNDEFINED.
What is a number raised to the power of Infinity?
A number raised to the power of infinity is to multiply a number by itself an infinite number of time. You will get infinity if your number is positive and large. You will get 1 if your number is 1. You will get zero if your number is between -1 and 1.
What is the indeterminate form of infinity raised to zero?
Indeterminate Form – Infinity Raised Zero. Solution: Since the answer is ∞ 0, then it is also another type of Indeterminate Form and it is not accepted as a final answer in Mathematics. We know that any number raised to zero power is always equal to one except for infinity that’s why it is also an Indeterminate Form.
What is the relationship between positive and negative powers of Infinity?
If the number is positive and greater than one, then as we raise it to higher and higher positive powers, the result keeps on increasing and tends to infinity as the power tends to infinity. If the number is raised to lower and lower powers tending to negative infinity, the result tends to zero.
How do you divide infinity to the power of Infinity?
Answer. Infinity is not actually a number so you can’t divide by it or raise to the power of it. Infinity is the size of the set of all natural numbers which is of course infinite. Think about dividing some number by a very much larger one, the result will be a very small number,but it won’t be quite zero.