Decoding Infinity

If we talk about the largest possible digit in decimal number system, then the number which comes in our mind is non other than 9.

So,

1 digit largest number = 9

2 digit largest number = 99

3 digit largest number = 999

4 digit largest number = 9,999

and so on . . .

In the above, numbers are increasing the digits from right to left means,

. . . . . Thousand Hundred Tens Ones

Now, if we talk about the largest possible number in mathematics then it will be like ...9999 infinite times

Therefore,

Largest possible number = . . . . . 9999

If we expand or write this number is it's place value format,

. . . 9999 = . . . + 9×10³ + 9×10² + 9×10¹ + 9×10⁰

So, we got an infinite series for this number

Now,

Let S = . . . 9999

=> S = 9×10⁰ + 9×10¹ + 9×10² + 9×10³ + . . .

=> S = 9×10⁰ + 10( 9×10⁰ + 9×10¹ + 9×10² + . . . )

=> S = 9 + 10( S ) ----- (The series inside bracket is also S)

=> S = -1

=> . . . 9999 = -1

From above, it is clear that the value of . . . 999 is equal to -1 means the value of largest possible number is -1.

Now,

Lets take another number i.e . . . . 99998 then by using same method we get

. . . 99998 = -2

I know that it's shocking and unrealistic. But I am just telling what I am getting.

Wait . . .

I want to tell you something.

We know that,

-1 × -2 = 2

So, if

. . . 9999 = -1

and

. . . .9998 = -2

then

. . . 9999 × . . . 9998 should be 2.

Just Check ! ! !