Existence of identity; existence of inverse and cancellation laws

Existence OF Limit

Existence OF limit

Existence OF limit

Existence OF Limit

Existence of additive identity

Existence of additive inverse

Existence of negative (additive inverse) of a rational number

Existence of multiplicative identity

Property 4 (Existence of addition identity): There is integer 0such that for any integer am we have a+0=a=0+a The integer 0 is called the additive identity.

Existence of multiplicative inverse or reciprocal of non-zero rational number