Current location - Training Enrollment Network - Mathematics courses - What is 0 times infinity?
What is 0 times infinity?
The result of multiplying 0 by infinity is uncertain.

The analysis process is as follows:

0 is a definite number, no matter how many times it is multiplied, it is 0.

"0" can also mean infinitesimal, multiplied by infinity to classify the discussion.

0 is the limit of infinitesimal, obviously 0 and infinitesimal are not the same thing.

Extended data:

The purpose of ∠:

When describing an interval, only the upper bound is (-∞, x] (x ∈ r); Only the lower bound is [x, +∞) (x ∈ r); If there is neither upper limit nor lower limit, it is (-∞,+∞).

In advanced mathematics, it is stipulated that x is a real number, when x >;; 0,x÷0 =+∞; When x

Addition, subtraction, multiplication, division, multiplication and root operations of +∞ and real numbers always result in +∞; The addition, subtraction, multiplication, division, multiplication and root operation of-∞ and real numbers always result in-∞. (0 ×∞ meaningless)

+∞ can be expressed as x+ 1 in a sense, because x is a symbol representing any real number or imaginary number, and infinity must be greater than any real number or imaginary number, while the paradox of 0.999 ... 999 (infinite cycle of 0.9) = 1 shows that infinity may involve a higher level (because the infinite cycle of 0.9 is less than/kloc-0)