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Chapter 7: Q. 25 (page 639)

Simplify the quotients in Exercises 21–28 without using a calculator.
$\frac{4!}{(2!)!}$

Short Answer

Expert verified

The value is $12 .$

Step by step solution

Step 1. Given information.

The given expression is $\frac{4!}{(2!)!}$ .

Step 2. Value of the expression.

Now, we know,

$n! = n (n - 1)! T h e r e f o r e, \frac{4!}{(2!)!} = \frac{4!}{(2 \times 1)!} = \frac{4!}{2!} = \frac{(4) (3) 2!}{2!} = 12$

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Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.

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$0.237237237 . . .$

Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.

$\sum_{k = 1}^{\infty} \frac{1}{k}$

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Simplify the quotients in Exercises 21–28 without using a calculator.4!(2!)!

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the expression.

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Most popular questions from this chapter

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Simplify the quotients in Exercises 21–28 without using a calculator.
$\frac{4!}{(2!)!}$