Quick Answer: Is 0 Times Negative Infinity Indeterminate?

Is Infinity to the zero power indeterminate?

It is indeterminate, and the value depends on how you are getting the ∞ and the 0..

Why is 1 to the Power Infinity indeterminate?

For example, limn→∞(1+1n)n=e≈2.718281828459045. limn→∞(1+1n)√n=0, so a limit of the form (1) always has to be evaluated on its own merits; the limits of f and g don’t by themselves determine its value.

Why is 0 to the power indeterminate?

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. In fact, 00 = 1! …

What is infinity divided 0?

Similarly, any expression of the form a/0, with a ≠ 0 (including a = +∞ and a = −∞), is not an indeterminate form since a quotient giving rise to such an expression will always diverge. Originally Answered: What if infinity is divided by zero? Infinity divided by zero is undefined.

Is 0 times 0 defined?

0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value. But we can’t just substitute and get an answer.

Is Infinity multiplied by infinity indeterminate?

The key thing to understand in regards to your question is that with the limit you are never actually multiplying anything by infinity or anything by 0 in a limit. In other words, there is no value of x that produces infinity*0 as the product of f(x)*g(x).

What happens when you multiply zero by infinity?

Zero multiplied by infinity will be Zero itself. … When zero is multiplied by x where x tends to infinity, the answer will be zero. And when Y is multiplied by X where Y tends to zero and X tends to infinity, answer will be Indeterminate.

What is the limit if it is 0 0?

Well, when you take the limit and arrive at an answer of 0/0, this is actually an INDETERMINANT. An example of an UNDEFINED number would be 1/0 or infinity.

Is a negative number to the zero power 1?

Will the answer be 1 for both? Answer: As already explained, the answer to (-1)0 is 1 since we are raising the number -1 (negative 1) to the power zero. However, in the case of -10, the negative sign does not signify the number negative one, but instead signifies the opposite number of what follows.

Is undefined equal to zero?

There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

What is negative infinity times infinity?

That is, x + infinity = infinity (where x is a real number). So, you could loosely say. infinit. A simple answer: infinity – infinity is zero!

What is 0 to the infinity power?

Zero the the power infinity means 1 multiplied by zero incessantly. It doesn’t matter how many times you multiply by zero, as long as it’s more than once; the result will be zero.

Are zero and infinity the same?

Infinity and Zero are the same point in space only separated by time. Zero is the midpoint of the {-∞ , 0, +∞} set of all integers. If we view the integer series as a 1Dimensional sequence, we would naturally say infinity and zero were different points.

Is 2 times infinity bigger than infinity?

Infinity can never be smaller or larger then infinity. Infinity is not a number. It is a size, a manyness. Georg Cantor proved that there are 2 and only 2 sizes of infinity.

What is negative infinity?

Negative infinity is the opposite of (positive) infinity, or just negative numbers going on forever.

Is negative infinity equal to positive infinity?

No. In number sets in which positive and negative infinity are both defined, they are not equal. There are sets, such as the extended complex numbers, in which there is only one kind of infinity, but they attach no meaning to infinity being positive or negative.

Is 0 0 undefined or infinity?

Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

Is Infinity minus one still infinity?

Infinity is not a number is a concept, but let’s imagine one infinity made out of numbers from 0 to infinity: You will have th following list: 0, 1, 2 ,3…followed by a never ending list of numbers. So in this case, this infinity minus one is still infinity.

Is 1 divided by infinity indeterminate?

Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined. In mathematics, a limit of a function occurs when x gets larger and larger as it approaches infinity, and 1/x gets smaller and smaller as it approaches zero.

What is the infinite root of infinity?

Originally Answered: What’s the infiniteth root of infinity? ∞ is undefined, However if we try to find nth root of n where n tends to ∞ .. the result will converge to one ( 1 ).

What is the value of 1 plus infinity?

Example: ∞ + 1 = ∞ Which says that infinity plus one is still equal to infinity. When something is already endless, we can add 1 and it is still endless.