Question

11 For x < < 1, then value of (1+x)' is​

Answer 1

Answer:

The answer must be in Integers or in Rational form.

The assertion that X equals X+1 is false, if X represents a real number and the “+” represents addition.

In an IF/THEN statement, IF the assertion is false, THEN anything that follows may be true. Since X=X+1 is false, ANY value for X is equally valid (or invalid).

For any natural number {1,2,3,…}, X+1 is greater than and cannot be equal to X. The assertion “X=X+1” is also false if X is an integer {…,-2,-1,0,1,2,3,4,5,…} or a rational number {1/1, 1/2, 2/1, 1/3, 2/3, 3/2, 1/4, …} or even if X is a complex number (such as 3+2i).

Of course it is possible to interpret the symbols differently, e.g.

defining the “+“ to be some operation other than addition,

or by having either “X“ or “1” represent an element of some other set,

or even by defining an algebra in which X=X+1 is true for some cases

(Think of an algebra with only one possible element {X}

or an algebra in which “1” serves as the additive identity.)

The above also assumes that, in your question, the “=” symbol was meant to indicate the assertion of equality — which is commutative, so that “X+1=X” has the same meaning as “X=X+1”. If X represents a finite number, X cannot ever equal X+1; while “X=X+1” is a valid statement, it asserts something that is false.