What is infinity to the 0 power?
Answer: Infinity to the power of zero is equal to one.
Is 0 times infinity indeterminate?
In particular, infinity is the same thing as “1 over 0”, so “zero times infinity” is the same thing as “zero over zero”, which is an indeterminate form.
When can you not use L Hopital’s rule?
Remember, L’Hôpital’s rule works ONLY with indeterminate limits with the form 00 OR ∞∞.
Is infinity equal to zero?
In Mayan mathematics, zero is supposed to be, in some sense, equal to infinity. In terms of logarithms, the original value 0 corresponds to −∞, while the original infinite value corresponds to +∞.
What is 2 to the power infinity?
1/2power infinity will be a very small no. tending to 0 so answer is 0..
Why is 0 to the 0 power undefined?
No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined!
Is 0 * negative infinity 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.
Why is 1 to the Power infinity indeterminate?
We first learned that 1^infinity is an indeterminate form, meaning that a limit can’t be figured out only by looking at the limits of functions on their own. You’ll then take the limit of the exponents of the e function. And Step 2: Apply L’Hopital’s Rule so you can find your limit.
What if L Hopital’s rule gives 0 0?
So, L’Hospital’s Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
What is 1 divided infinity?
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.