0 times infinity is indefinite?
When you multiply 0 by infinity, infinity is the multiplier and 0 is the multiplier. Therefore, infinite multiplication by zero gives zero product. … Therefore, zero multiplied by infinity is zero, not indefinite.
Is infinity for infinity indefinite?
The most important thing to understand about your question is that with a limit you never multiply anything by infinity or by 0 in the limit. In other words, there is no value x that gives infinity * 0 as the product of f(x) * g(x).
What happens if you multiply zero by infinity?
Zero multiplied by infinity is itself zero. … If zero is multiplied by x, where x approaches infinity, the answer is zero. And when Y is multiplied by X, where Y approaches zero and X approaches infinity, the answer is vague.
Can we multiply by 0 to infinity?
In fact, when a number (including zero) is multiplied by infinity, the result is always indefinite. Therefore, zero multiplied by infinity is not defined. So zero multiplied by infinity is an undefined real number. This is the definition of indefinite.
Why is infinity at the zero power indefinite?
There is no universal value for ∞0. It’s an undefined value and its meaning depends on how you get ∞ and 0. … As for your current question, ∑∞i = 1k1/k is infinite since you’re adding a nonzero constant (k1/k) to you same indefinitely many times.
1 to infinity is undefined?
Forms not indefinitely
The fractions 0 ∞ \frac0 {\infty} ∞0 and 1 ∞ \frac1 {\infty} ∞ 1 are not indefinite, the limit is 0 0 0. The fractions 1 0 \frac10 0 1 and ∞ 0 \frac {\infty } 0 0∞ are not undefined. If the denominator is positive, the limit is ∞ \ infty ∞.
Is infinity divisible by infinity 1?
This equation is clearly wrong. Therefore, infinity divided by infinity does NOT equal one. Instead, we can get any real number equal to one by assuming that infinity divided by infinity equals one, so infinity divided by infinity is undefined.
Does infinity equal zero?
The concepts of zero and infinity are related, but it is obvious that 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. Then it is easy to say that N/0 is infinite. … So we say 0/0 = 0, even if we can’t justify an arbitrary rule change.
Is infinity twice the size of infinity?
Infinity can never be less than or greater than infinity. Infinity is not a number. It is a dimension, a multiplicity. Georg Cantor proved that there are 2 and only 2 orders of infinity.
What is the value of (1 infinity?
Infinity is a concept, not a number, so the expression 1/infinity is actually indefinite. In mathematics, the limit of a function occurs when x increases as it approaches infinity and 1/x decreases as it approaches zero.
Why is 1 raised to infinity equal to infinity?
That is, as x approaches infinity, the function gets closer and closer to the asymptote. Since the asymptote is a line where the curve approaches infinity but never reaches it, the function can never reach its real value at x = infinity. Therefore, we say that it is not defined.