Question

what is the reciprocal of zero​

Answer 1

Answer:

In other words, Reciprocal term can't be used for zero or zero has no Reciprocal. 0 does not have a reciprocal. By definition, the reciprocal of x is a number y such that xy = 1. There is no number that you can multiply by 0 and get 1.

Step-by-step explanation:

Reciprocal of zero= 1/0

1/0 is not defined.

The reason is quite simple to understand.

Imagine you have one pen. You distribute it to 0 people. How many pen will each person get.

It can not be defined.

However the limit of 1/0 can be defined.

Look at this pattern-

1/4 = 0.25

1/3 = 0.33

1/2 = 0.5

1/000.1 = 1000

As we are decreasing the number, its reciprocal is increasing.

If we take an infinitely small number (tending to 0) what do you expect its reciprocal to be?

It will approach infinity.

So we say the limit of 1/x when x is tending to 0 approaches infinity.

Answer 2

Answer:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

i hope it will help u