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3 years ago

Identify the imaginary part of the number. 5 A)5i B)5 C)0 D)1 E)I

Mathematics

1 answer:

laila [671]3 years ago

7 0

I believe it would be A or E

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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

Dominik [7]

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

3 years ago

Read 2 more answers

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Marina CMI [18]

Answer:

x> 49 answer : D

Step-by-step explanation:

hello :

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slavikrds [6]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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alekssr [168]

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