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Klio2033 [76]
3 years ago
14

Quick, anyone know the answer?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
4 0
Your answer would be A :)
Kitty [74]3 years ago
4 0
I’d imagine the answer would be A, but I’m not 100% sure
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Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n En
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Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

\to a_n=\frac{n^3-n}{n^2+5n}

\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}

                   = \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\

Denominator= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1

Numerator =\lim_{n\to \infty}n-\frac{1}{n}=\infty

\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty

7 0
2 years ago
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Why the slope of a horizontal line is always zero.
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1. The perimeter of a rectangle is 30 inches. If its length is three times its width, find both
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Which value of x will make the following statement false?
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