Sage-Tips

What is the value of 0 * infinity?

Any number into 0 is 0. 0. When you multiply any number by 0 you get 0. So, when you multiply 0 by infinity, you get 0.

Can you do 0 * infinity?

Because Infinity is an undefined number (having no finite value), multiplying Infinity by Zero results in an undefined value. So Infinity x 0 is undefined.

Why is 0 * infinity undefined?

Zero divided by “infinity” is undefined because you have not defined “infinity” and there is not a default “infinity” for us to use. There are plenty of transfinite numbers [1] we could use, almost all of which would give a value of zero to the division.

What is the value of 1 Power infinity?

1 raised to power infinity is always 1.

How do you solve 1 infinity limit?

1. Step 1 For Solving 1^Infinity. Step 1: Rewrite the problem as e to the natural log of your function. You’ll then take the limit of the exponents of the e function.
2. Step 2 For Solving 1^Infinity. Step 2: Apply L’Hopital’s Rule so you can find your limit.

What is the value of 1 by infinity?

undefined
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.

Is 1/0 infinity or 1/infinity?

Thus, 1/0 is not infinity, or 1/infinity is not 0. 1/infinity is rather undefined. But, the reason you are asking is due to a similar statement that misinterpreted as 1/infinity=0. For, x->infinity 1/x->0.

What is the value of 0/0?

1 x 0 = 0. Applying the above logic, 0 / 0 = 1. However, 2 x 0 = 0, so 0 / 0 must also be 2. In fact, it looks as though 0 / 0 could be any number! This obviously makes no sense – we say that 0 / 0 is “undefined” because there isn’t really an answer.

Why is 1/0 = ∞?

That these limits are not equal is why 1 / 0 is undefined. The place where you typically see 1 / 0 = ∞ is when doing arithmetic in the projective line.

What is the value of Infinity?

Infinity is not a number. Now the limit of 1/x as x approaches infinity does resolve it self as 0. Study limits rather than absolutes. Because the inverse of an infinitely large number is a number that is infinitely small. The only number that is infinitely small is zero.