#### What is zero times infinite

This might sound pedantic but leads to some important consequences. You can use limits to compute whether the sequence of partial sums of a series converges to a value, and we define the value of the series to be that value, if it exists. This award-winning book is very accessible. This video is unavailable. After all, zero times any number is equal to zero, however infinity is not a number. Free Trial. L'Hopital's Rule being used on two examples of 0 times infinity. Math archives. Rotando; Henry Korn January

If you are interested, here is the proof that. If you're thinking of infinity as a number, then zero times infinity is not defined.

## Math Forum Ask Dr. Math FAQ Dividing by Zero

You'll often find it given as NaN, "not a number", on a computer. If you're thinking of.

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Another example of the effect of tangible quantities: taking two circles whose circumferences have been calculated from their identical radii, and dividing the circumference of either into the other will never get you to one.

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### What does Zero Times Infinity Equal « Phil for Humanity

If we additionally assume that "zero divided by zero" means "the unique number which gives zero when muliplied by zero", we see that zero is also equal to the common value of one and infinity, and to any other numbers that may exist in the system under consideration. Certain words can be pinpointed in the question to highlight the problem.

StraighterLine 14, views.

Zero multiplied by infinity equals what?

Video: What is zero times infinite How To Count Past Infinity

infinity * 0. For if A is B times C, then A divided by B is C. But zero is equal to zero times any TO SAY that "any number divided by zero is infinity" is not quite correct.

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### Properties of Infinity Superprof

When x is 3, t Multiplication is not easily transformed to addition, unless you know how to add 5 to itself pi times. If we talk about sequences, then the appropriate thing is to talk about infinitesimals, not just about transfinite reals. However, the resulting algebraic structure is not a fieldand should not be expected to behave like one. Indeterminate - Duration:

This is because "dividing by x" is really just a shorthand way of saying "calculating the amount which gives the original when multiplied by x".

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Indeterminate Forms. And a lot of the confusion in these various questions concerning infinity come from conflating different concepts of infinity.

Eddie Woo 3, views. Essential Discontinuity.