Table of Contents
Why is 0 times infinity an indeterminate form?
Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In particular, infinity is the same thing as “1 over 0”, so “zero times infinity” is the same thing as “zero over zero”, which is an indeterminate form.
Is 0 ∞ an indeterminate form?
Exponential: 0 ∞ 0^\infty 0∞ and ∞ ∞ \infty^\infty ∞∞ are not indeterminate; the limits are 0 0 0 and ∞ \infty ∞, respectively.
Why is infinity to infinity indeterminate?
Since the size of infinity is unknown, we cannot determine any of these situations and therefore the answer is Indeterminate. One reason the answer is indeterminate is because you can find sequences xn,yn of real numbers such that xn,yn→∞ and (xn−yn) can converge to any real value or ±∞.
Why is infinity minus infinity indeterminate?
It is impossible for infinity subtracted from infinity to be equal to one and zero. Using this type of math, it would be easier to get infinity minus infinity to equal any real number. Therefore, infinity subtracted from infinity is undefined.
What is infinity over infinity equal to?
You can’t really say that infinity divided by infinity is anything. For all intents and purposes, it is undefined. This is because infinity is seen as a concept, not a number – and its symbol merely represents the concept.
Does infinity equal 0?
Zero is not equal to infinity. Zero is a number but not infinity. 0 is both a number and the numerical digit used to represent that number. Infinity is a number greater than any assignable quantity or countable number (symbol ∞).
Why is infinity not equal to infinity?
the Russian mathematician Ludwig Phillip Cantor demonstrated that there are an infinite number of numbers just between 0 and 1 and more than one kind of infinity – the countable and the uncountable: infinity equals infinity equals infinity and independent of dimension, as the mind-defying proposition goes.