What is the value of 0 infinity?

Originally Answered: What is the value of 0 * infinity? It is undefined. When infinity is multiplied with any number, answer will be zero. however 0*∞ is undefined.

What is the value of 1 into infinity?

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Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.

What is the value of infinity by Ramanujan?

-1/12
For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

Is n convergent or divergent?

n=1 an diverges.

What happens if the series does not converge to infinity?

If the sums do not converge, the series is said to diverge. It can go to +infinity, −infinity or just go up and down without settling on any value. Adds up like this: The sums are just getting larger and larger, not heading to any finite value.

What is an infinite series of values?

When we have an infinite sequence of values: 1 2 , 1 4 , 1 8 , 1 16 , we get an infinite series. “Series” sounds like it is the list of numbers, but it is actually when we add them together. (Note: The dots “…” mean “continuing on indefinitely”) You might think it is impossible to work out the answer, but sometimes it can be done!

What is the value of N in a series?

n n are positive integers. Each of these series can be calculated through a closed-form formula. The case. a = 1, n = 100. a=1,n=100 a= 1,n = 100 is famously said to have been solved by Gauss as a young schoolboy: given the tedious task of adding the first. 100.

What is s n = 2n(n+1)?

The left sum telescopes: it equals n2. The right side equals 2S n−n, which gives 2S n−n = n2, so S n = 2n(n+1). This technique generalizes to a computation of any particular power sum one might wish to compute.