Mathematical Infinity Symbol

In this article we are going to see about the infinity mathematical symbol topics and problems involving it. Infinite mathematical symbol is derived from Latin word infinities mean unbound Nessi.  Grail says if we remove some value or adds some value to infinite, it will remain same like removing glass of water from ocean or adding bucket of water to ocean, which results same infinite. So learn infinite which is indicated by mathematical symbol ∞.

mathematical symbol (∞) infinity series:-

 

mathematical infinity symbol:-

A sequence of number or value in, which an infinity number of term added successively in a given pattern the sequence of partial sum of a given sequence.

An infinity symbol is an expression,

S = 1 + 1/6 + 1/8 +...

The dots mean that infinitely many terms. We obviously can not add up an infinity number of term but we can add up the first n term like this:

S1 = 1

S2 = 1 + 1/6 = 7/6

S3 = 1 + 1/6 + 1/8 = 12/8

The n-th partial sum is

Sn = 2 - 1 / 2n

When n gets larger and larger, Sn gets closer and closer to the number 2. When a sequence Sn gets closer and closer and closer to a given number S, we say that S is the limit of the Sn's and we write

Lim ( Sn ) = S.

n->∞

 

 

Example problems for mathematical symbol (∞) infinity :

 

symbol of mathematical infinity:-

The symbol of infinity equation method to solve two linear equation and variable. To solve system of infinity in two or three variable we need to determine first whether the equation is consistent inconsistent independent or dependent.

a1x+b1y=c1 ------- (1)

a2x+b2y=c2 ------- (2)

State:-

The equation consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.

mathematical infinity problem:-

Solve Equations with Infinity:

9a – 12 = 4a – 5 + 8 + 5a

Solution:-

9a – 12 = 4a – 5 + 8 + 5a

9a – 12 = 4a + 3 + 5a

9a – 12 = 9a + 3

9a – 9a = 3 + 12

The equations with mathematical infinity or no solution.