How many whole numbers are there between 0 and 1?

Answer 1

None

First we need a few definitions:

(i) Your interval is defined by #(0,1)# on the real line That is any number #x# where #0 < x <1#

(ii) Whole numbers are integers,

By definition intergers are: any of the natural numbers, the negatives of these numbers, or zero, That is any number #x in ZZ#
From the definition of integers, no number #x# can satisfy both (i) and (ii) above.

Hence, there are no whole numbers between 0 and 1.

NB: There are in fact an infinite number of real numbers in the interval #(0,1)#. These consist of the rational numbers which can be represented by #p/q {p,q} in ZZ: q!=0# (such as #1/2#) and irrational numbers which cannot be represented by #p/q {p,q} in ZZ: q!=0# (such as #1/sqrt2#).
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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