Which of the following is the correct expanded form for the series below?
4€ n=1 n/n!

Answer:
1st option
Step-by-step explanation:
We are summing the expression for n = 1 to n = 4 , that is
[tex]\frac{1}{1!}[/tex] + [tex]\frac{2}{2!}[/tex] + [tex]\frac{3}{3!}[/tex] + [tex]\frac{4}{4!}[/tex]
1 ! = 1, 2! = 2 × 1 = 2 , 3! = 3 × 2 × 1 = 6 , 4! = 4 × 3 × 2 × 1 = 24 , then
[tex]\frac{1}{1}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{6}[/tex] + [tex]\frac{4}{24}[/tex]
= 1 + 1 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]