Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3
1 answer:
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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:
Option C
Step-by-step explanation:
we have
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation
step 2
Factor -6 leading coefficient'
step 3
Complete the square
Remember to balance the equation by adding the same constants to each side
step 4
Rewrite as perfect squares
simplify