the product of all real numbers is equal to
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There are infinite number of real numbers.
Hence, the product of all real numbers will be infinite.
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Hence, the product of all real numbers will be infinite.
Hope it helps.
Please mark my answer as brainliest.
Thank You.
Answered by
1
Answer:
0
Step-by-step explanation:
The set real number have multiplicative inverse property.
There exist a multiplicative inverse number for every real number except '0'. If x is a real number then there exist x' belongs to real number such that x*x' = 1. where x' = 1/x, range of x' is (0,1).
The product of all real numbers expect '0' will be 1*1*1*1*1*1*1*1*1*.......= 1 --<1>
The only number left with no multiplicative inverse is '0'.
Now, multiply '0' to <1>
0*1 = 0
The product of any number and zero will be zero.
Finally,
The product of real numbers is '0'.
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