Does the sum of all positive integers equals − 1 12?

Absolutely Not!” It begins by pointing to a graph: “Brief Summary: 1 + 2 + 3 + 4 + . . . is not equal to −1/12, but both the infinite series and the negative number are associated with each other in a way that can be seen in this graph.” Infinity is not a sensible value.

How can the sum of all positive numbers be negative?

= -1. That is, the sum of positive numbers to infinity is negative. In the same way, it makes no sense to add up the positive numbers to infinity and say it equals -1/12.

Is Ramanujan summation true?

Is the Ramanujan summation true? Not really. Obviously it is not true that the sum of the series is . The series is known as the Riemann zeta function.

What is sum of all positive numbers?

The SUM of all positive numbers is infinity.

What is the sum of all positive integers from 1 to infinity?

-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.

Can sum to infinity be negative?

Each of the partial sums of the series is positive. If the series converges then the lowest possible limit is 0. So the sums cannot add up to a negative number.

What is a sum to infinity?

The sum to infinity of a sequence is the sum of an infinite number of terms in the sequence. It is only possible to compute this sum if the terms of a sequence converge to zero.

What is the sum of all positive numbers up to infinity?

The sum of all positive numbers (Natural numbers) up to infinity is -1/12 . This can be considered as “play with numbers” Yess!!! It is a very surprising result but This result , what I calculated is based on mathematics of Averages..

Is the infinite sum of all natural numbers equal to -1/12?

First of all, the infinite sum of all the natural number is not equal to -1/12. You can easily convince yourself of this by tapping into your calculator the partial sums and so on. The get larger and larger the larger gets, that is, the more natural numbers you include.

What is the value of the sum of 1 and 1?

Since A is the sum of 1 and -1 an infinite number of times, its value depends on where we end the sum. For example, 1 – 1 + 1 – 1 = 0 [even number of terms], while 1 – 1 + 1 = 1 [odd number of terms].

Why is the sum of positive integers a negative number?

This result is counterintuitive for many reasons, the main one being that the sum of all positive integers is a negative real number (fraction). But its infinite nature is precisely why the sum has a tangible, constant value. As soon as the sum becomes finite, we lose our ability to generalise.