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maksim [4K]
3 years ago
7

Which of the following is the correct expanded form for the series below?

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer: Option A is correct  that is 1 +1+\frac{1}{2} +\frac{1}{6}

Explanation:

we will substitute the values of n in given expression

\sum_{n=1}^{4}\frac{n}{n!}

when substituting n=1 we get  in \sum_{n=1}^{4}\frac{n}{n!}=\frac{1}{1!}

when n=2  we get \frac{2}{2!}

when n =3 we get \frac{3}{3!}=\frac{3}{6}=\frac{1}{2} ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get  \frac{4}{4!}=\frac{4}{24}=\frac{1}{6};4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied  till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1




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