0/0 is an indeterminate form because of the fact that no mathematician who has ever lived on this earth possess the capability to give its true value which can be accepted by all of us….
Subsequently, one may also ask, why is 0 to the power indeterminate?
Answer: Zero to zeroth power is often said to be "an indeterminate form", because it could have several different values. Since x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1.
Also, is 0 to the infinity indeterminate? For example, the expression 1/0 is undefined as a real number but does not correspond to an indeterminate form, because any limit that gives rise to this form will diverge to infinity. Note that zero to the power infinity is not an indeterminate form.
Hereof, what does the indeterminate form 0 0 mean?
When calculus books state that 00 is an indeterminate form, they mean that there are functions f(x) and g(x) such that f(x) approaches 0 and g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of [f(x)]g(x) as x approaches 0.
Is a number over 0 indeterminate?
Given that, you can see the difference between 1/0 and 0/0. We say that 1/0 is undefined because there is no number c that satisfies 0c = 1. On the other hand, any number c satisfies 0c = 0 and there's no reason to choose one over any of the others, so we say that 0/0 is indeterminate.
Related Question Answers
What is infinity to the power of 0?
In that case infinity to the power of zero is 1 because any Real NUMBER to the power zero is 1. But when you calculate limits, infinity to the power zero is indeterminate.What is 0 to the power of negative 2?
When a number is raised to the power of a negative number, it is put under one and the exponent turns positive. For example, 2^-2 would be written as 1/2^2 or 1/4. Now if zero is raised to a negative power, it would be like: 0^-1 what simplifies to 1/0^1 what simplifies to 1/0.What is the factorial value of 0?
Factorial of zero = 1. There are several motivations for this definition: For n = 0, the definition of n! as a product involves the product of no numbers at all, and so is an example of the broader convention that the product of no factors is equal to the multiplicative identity (see Empty product).What is infinity raised to infinity?
Countable infinity minus one, any number except 637 . That's countable infinity. Same for position one, position, two, and so on up to position countable infinity. Thus we know that infinity raised to the power of infinity is uncountably larger than our countable infinity.What is anything to the power of 0?
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.What is the zero exponent rule?
When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1. 5^0 = 1.Is zero a positive integer?
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.What is the value of 1 infinity?
Essentially, 1 divoded by a very big number gets very close to zero, so… 1 divided by infinity, if you could actually reach infinity, is equal to 0.How do you know if a limit is indeterminate?
If the denominator is negative, the limit is − ∞ -infty −∞. If the denominator takes both positive and negative values in any neighborhood of the point where the limit is being taken, the limit does not exist. Product: ∞ ⋅ ∞ infty cdot infty ∞⋅∞ is not indeterminate; the limit is ∞ infty ∞.What is the value of 1 Power Infinity?
1 raised to power infinity is always 1. If one considers LHL, x will tend to 1 (from left side of 1 on the number line) but will always be less than 1, and raising infinity on something which is less than one will approach to ZERO. As LHL is not equal to RHL, Limit does not exist.What is E to the infinity?
When e is raised to power infinity,it means e is increasing at a very high rate and hence it is tending towards a very large number and hence we say that e raised to the power infinity is infinity.Why is Infinity 1 indeterminate?
The indeterminate form arises when the base approaches 1. A little bit of analysis shows you why — if the base is slightly less than 1, then multiplying itself repeatedly makes it smaller and smaller and it goes to 0; if the base is slightly larger than 1, then the expression will go to infinity.Is negative infinity over infinity indeterminate?
In both cases the numerator tends to -inf and the denominator tends to +inf, but each case has it's own limit, so there is no rule to determine the limit just by looking at the form ¨negative infinity over infinity¨. There will never be a rule. The magnitude is indeterminate, but the sign is not.What is the limit of 0 infinity?
If f(x) = 0 for every x thenf(x)/g(x) = 0 for every x, and hence the limit is zero. (This is your potato example.) Since g(x) approaches infinity as x approaches a, as x gets close to a, g(x) > 1.Is 1 divided by infinity indeterminate?
Infinity is a concept, not a number. We know we can approach infinity if we count higher and higher, but we can't ever actually reach it. Because of this, the expression 1/infinity is actually undefined, but that's not the end of the story!What is the value of 0 divided by infinity?
If you divide a thing by infinity, you will get no divisions. Any finite number is just 0 for the infinity because there are always larger than it, it doesn't count at all. 1000000000000000000000000 is zero for infinity. So ∞ × 0 = will result into any real number.What is 0 to the power of negative 1?
Strictly speaking we say 0−1 is undefined. x−1 is the multiplicative inverse of the number x. By definition of the multiplicative inverse, the product of a number and its multiplicative inverse equals one. So we would have 0×0−1=1.What does 0x mean in algebra?
0X or 0-X (zero X) may refer to: 0x, a prefix for hexadecimal numeric constants in computing.What makes a number undefined?
We learned that a numerical expression is undefined when there is no answer or when you get division by zero. We might get division by zero for those numerical expressions with variables and a denominator. To find the points where the numerical expression is undefined, we set the denominator equal to zero and solve. 
