A number greater than zero or infinitely greater than zero, the answer is infinity. A number from infinity, the answer is zero. 0/0 or ∞/∞, use the LHôpitals rule.
What is the value of zero above infinity?
Whatever the large number is divided by our answer 0, and making that large number grow (as much as we want, tending towards infinity), the answer is still 0. So the answer to your question is 0.
What is the limit of 1 beyond infinity?
Infinity is a concept, not a number, so the expression 1/infinity is actually indefinite. In mathematics, a limit of a function occurs when x increases as it approaches infinity and 1/x decreases as it approaches zero.
How do you solve a limit from zero infinity?
By multiplying 0 by infinity, infinity is the multiplier and 0 is the multiplicand. Thus, infinite multiplication by zero gives the product zero. … Therefore, zero multiplied by infinity is zero, not indefinite.
Is 0 times infinity indeterminate?
By multiplying 0 by infinity, infinity is the multiplier and 0 is the multiplicand. Thus, infinite multiplication by zero gives the product zero. … Therefore, zero multiplied by infinity is zero, not indefinite.
Does infinity equal zero?
The concept of zero and infinity is related, but obviously zero is not infinity. On the other hand, if we have N/Z and all N are positive, the quotient grows indefinitely as Z approaches 0. We therefore easily say that N/0 is infinite. … So we say 0 / 0 = 0 , although we can’t justify changing the rules arbitrarily. 12
What is infinity divided by 0?
Infinity isn’t a real number, and even if it were, dividing by zero wouldn’t be the answer. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.
Is division by zero acceptable?
There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.
What is the limit of 1N?
The limit of 1/n as n tends to zero is infinity. The limit of 1/n as n approaches zero does not exist. As n approaches zero, 1/n simply does not approach any numerical value. You can find another approach to try and score 1/0 in the answer to a previous question.
What if a limit is 0 0?
Usually zero in the denominator means it is undefined. … When simply evaluating an equation, 0/0 is undefined. However, if we take the limit, if we roll 0/0 we can get a variety of answers and the only way to find out which one is correct is to calculate the limit. 29
Is infinity twice as big as infinity?
Infinity can never be smaller or larger than infinity. Infinity is not a number. It is one size, one multiplicity. Georg Cantor proved that there are 2 and only 2 orders of magnitude of infinity.