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agasfer [191]
2 years ago
5

John is traveling at 48 miles per hour and his distance can be written as d = 48t.

Mathematics
1 answer:
MakcuM [25]2 years ago
3 0
240 miles
d=48(5) which equals 240
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Please calculate this limit <br>please help me​
Tasya [4]

Answer:

We want to find:

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}

Here we can use Stirling's approximation, which says that for large values of n, we get:

n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} =  \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}

Now we can just simplify this, so we get:

\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\

And we can rewrite it as:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

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7 0
3 years ago
Which information could he have used to determine this?
disa [49]

Answer:

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Fiesta28 [93]
Hi!

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3 years ago
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mart [117]
Let, the number = x
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In short, Your Answer would be 71

Hope this helps!
3 0
3 years ago
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