is 0^0 defines number? Justify you answer
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Answered by
0
Answer:yes any number which is power to 0 is equal to 1
Step-by-step explanation:
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Answered by
1
Answer:
0⁰ is not equal to 1.
0⁰ is indeterminate form.
a⁰=1 where a is any number other than 0.
0^a =0 for all values of a except 0
proof that 0⁰ not equal to 1
assume that ,
0⁰ = 1
taking logorithem on both sides
log0⁰ = log 1
or, 0 log 0 = 0
but log 0 is undefined since function log X steadily -infinity as X decrease to 0 from 1
therefore, LHS not equal to RHS
this contradicts our assumption that 0⁰= 1
Hence, 0⁰ not equal to 1. ( proved)
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