why is 1^infinity indeterminate

Why is 1 infinity a indeterminate form?

Basically we use two things, that ex and ln x are inverse functions of each other, and that they are continuous functions. If g(x) is a continuous function then g(limx→a f(x)) = limx→a g(f(x)). )x = e. This is of the indeterminate form 1∞.

Is 1 infinity an indeterminate form?

Forms that are not Indeterminate

Quotient: The fractions 0 ∞ \frac0{\infty} ∞0​ and 1 ∞ \frac1{\infty} ∞1​ are not indeterminate; the limit is 0 0 0.

Why is 1 infinity not defined?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity. Similarly, expressions like 0/0 are undefined. … Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

Does indeterminate mean infinity?

Indeterminate means that it can “take on” multiple values. For example 00 could be any number, or “infinity”. It cannot be determined. Indeterminate means ‘impossible to calculate an exact value’.

Is infinity infinity 1 or indeterminate?

A limit confirmed to be infinity is not indeterminate since it has been determined to have a specific value (infinity).

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Is 1 to the Power infinity defined?

1^infinity=not determined. Since Infinity is not a value like 1 or 2. It’s a value which can’t be expressed in number.

Is infinity over 0 indeterminate?

Another states that infinity/0 is one of the indeterminate forms having a large range of different values. The last reasons that infinity/0 “is” equal to infinity, ie: … Thus infinity/0 is a problem both because infinity is not a number and because division by zero is not allowed.

Is infinity times 0 indeterminate?

Infinite here means indefinitely finite. Therefore, Zero multiplied by infinity is zero, not indeterminate.

How do you solve 1 infinity indeterminate?

What is zero divided infinity?

Zero divided by infinity is zero, not infinity. Any division problem with zero in the numerator is always equal to zero because even if you were to put zero into the numerator an infinite amount of times, you’d never actually reach the numerator. ∞ * 0 = 0. Therefore, 0/∞ = 0.

Is tan 90 infinity or undefined?

tan( 90°) is undefined. It doesn’t equal undefined. One of the definitions of the tangent function is by using a right triangle where the angle that you are taking the tangent of is not the right angle.

Can zero be divided by 1?

Answer: Zero divided by 1 is 0.

Let’s divide zero by 1. Explanation: Zero divided by any number is always 0. … For example, if zero is to be divided by any number, this means 0 items are to be shared or distributed among the given number of people.

Why is infinity minus infinity indeterminate?

Why is infinity to the zero power indeterminate?

Explanation: ∞ is an indeterminate form, that is, the value can’t be determined exactly. … ⇒ limn n = limn 1 = 1. This is an example of the type limn f(x)g(x), and if it is known that f(x) = n or multiples of n and g(x) = 0, then it is a constant.

What is infinity raised to infinity?

Infinity Plus Infinity

Adding infinity to infinity results in infinity.

What is 1 to the infinity?

undefined

Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.Jun 25, 2021

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What is E infinity?

Answer: Zero

As we know a constant number is multiplied by infinity time is infinity. It implies that e increases at a very high rate when e is raised to the infinity of power and thus leads towards a very large number, so we conclude that e raised to the infinity of power is infinity.

Does log 0 have an answer?

log 0 is undefined. It’s not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero, you can only approach it using an infinitely large and negative power. 3.

What is E infinity limit?

Answer: e to the power of infinity is infinity (∞).

Is infinity plus infinity indeterminate?

No . But Infinity — Infinity is an indeterminate quantity. If you add any two humongous numbers the sum will be an even larger number. If you add infinity (an impossibly large number) plus another impossible large number the result is still an impossibly large number (infinity).

Can infinity be proven?

Although the concept of infinity has a mathematical basis, we have yet to perform an experiment that yields an infinite result. Even in maths, the idea that something could have no limit is paradoxical. For example, there is no largest counting number nor is there a biggest odd or even number.

Why is infinity times zero not zero?

Zero is not a number, it is a limit, just like infinity. … There are only 3 states; 0, any number and infinity. Any number times any number is a number, so let’s just call any number 1. Any number times 0 equals 0 and any number times infinity equals infinity.

What is infinite infinite?

Originally Answered: What is infinity multiplied by infinity? Infinity is that which never comes to an end. infinity x infinity implies that which never ends is multiplied by that which never ends . Two finite numbers (both greater than 1) will always have a product that is greater than either of the original numbers.

How do you evaluate the limits of a Form 1 infinity?

What is negative one to the Infinity power?

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.

How do you find the limit of 1 to the power infinity?

Is infinity a number?

Infinity is not a number. Instead, it’s a kind of number. You need infinite numbers to talk about and compare amounts that are unending, but some unending amounts—some infinities—are literally bigger than others. … When a number refers to how many things there are, it is called a ‘cardinal number’.

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Does 1 INF equal 0?

No, because infinity is not a number. 1/Infinity LEADS to 0, because the bigger the number is, the smaller it gets, but because infinity is not a number,1/Infinity is not 0.

What happens when you ask Siri to divide 0 by 0?

“What is zero divided by zero?” If you ask Siri this question in the iOS 8 operating system, the iPhone’s virtual assistant will cleverly tell you that you’re making no sense. “Imagine that you have zero cookies,” Siri’s response begins, “and you split them evenly among zero friends.

Is tan90 a real number?

As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.

What is cot infinity?

+5. The cotangent of infinity is undefined. If you mean, “What angle has a cotangent value of (or approaching) infinity?”, then it will be 0° plus or minus all whole number multiples of 180°: …, -360°, -180°, 0°, 180°, 360°, …

Is cot 0 defined?

The value of cot 0° is not defined or ∞.

Is any number times 0 Always 0?

Multiplication by Zero

What happens when you multiply a number by 0? Multiplying by 0 makes the product equal zero. The product of any real number and 0 is 0 .

Why division by zero is not possible?

As much as we would like to have an answer for “what’s 1 divided by 0?” it’s sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be ​true, because anything times 0 is 0. Created by Sal Khan.

1^inf explained #IndeterminateFamily

6.11 Why is 1^INFINITY an indeterminate form?

Why 0^inf isn’t an indeterminate form but 1^inf is!

The indeterminate form 1^inf does NOT always approach 1


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