Which expressions ere equivalent to x+x+x+2
2 answers:
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
ANSWER
The larger number is 18
<u>EXPLANATION</u>
Let x be the larger number and y be the smaller number.
Then,
Let us add equation (1) and (2).
Divide through by 2
Put in to equation (1).
This implies that,