How do you calculate the following retaining the correct number of significant figures 12.432 times 3= and 208 times 62.1 =

Elleanor Mckenzie 2021-02-06 Answered
How do you calculate the following retaining the correct number of significant figures 12.432×3= and 208×62.1=
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avortarF
Answered 2021-02-07 Author has 113 answers
Step 1 Firstly we calculate the first part. Multiply both the numbers After that round off the result at tenth place. 12.432×3=37.296
37.39637.4 Step 2 Significant figures are those that have some meaning in overall value of the number. To determine what numbers are significant and which arent,
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I was trying to solve the next question:
let X be a finite measure space ( μ ( X ) < ) and let f L 1 ( X , μ ), f ( x ) 0 almost everywhere.
Show that for each measurable subset E X:
lim n E | f | 1 n d μ = μ ( E )
My idea for a solution is to use Fatou's lemma:
In one direction:
E lim inf n | f | 1 n d μ lim inf n E | f | 1 n d μ
and
E lim inf n | f | 1 n = E 1 d μ = μ ( E )
So we get:
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And an N N so for all n > N we get that 1 + ε > | f | 1 n which means 1 + ε | f | 1 n > 0
and use Fatou's lemma again on the expression above to get the lim sup smaller or equal to μ ( E )

Is it valid? Am I missing something?
If I do, what can I do to prove the other direction?
Thank you!
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