# What is the sum of 1 to infinity?

## What is the sum of 1 to infinity?

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 Ramanujan paradox correct?

Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined. …

### What is value of infinity?

The initial value of Infinity is Number.

What is the formula of infinite series?

While finding the sum of a GP, we find that the sum converges to a value, though the series has infinite terms. The infinite series formula if −1Sum = a/(1-r)

#### Why is the value of 1 infinity not equal to 0?

The simplest reason is that Infinity is not a number, it is an idea. So 1 ∞ is a bit like saying 1 beauty or 1 tall . Maybe we could say that 1 ∞ = 0, but that is a problem too, because if we divide 1 into infinite pieces and they end up 0 each, what happened to the 1?

What is the limit of 1x as x approaches infinity?

The limit of 1 x as x approaches Infinity is 0. And write it like this: lim x→∞ ( 1 x) = 0. In other words: As x approaches infinity, then 1 x approaches 0. When you see “limit”, think “approaching”. It is a mathematical way of saying “we are not talking about when x=∞, but we know as x gets bigger, the answer gets closer and closer to 0”.

## Can We do arithmetic with Infinity?

Proof : We know we cannot do arithmetic with infinity. But let’s take a limit and see if it is true:

What is the value of 1 ∞?

So 1 ∞ is a bit like saying 1 beauty or 1 tall . Maybe we could say that 1 ∞ = 0, but that is a problem too, because if we divide 1 into infinite pieces and they end up 0 each, what happened to the 1? In fact 1 ∞ is known to be undefined.