answer: - x¹¹\n#____ - find the sum of 1 + 5/...
answer: - x¹¹\n#____ - find the sum of 1 + 5/1! + 25/2! + 125/3! + ⋯ + 5ⁿ/n! + ⋯
Answer
# Explanation:
## Step1: Recall the exponential - series formula
The Maclaurin series for the exponential function is $e^{x}=\sum_{n = 0}^{\infty}\frac{x^{n}}{n!}=1+\frac{x}{1!}+\frac{x^{2}}{2!}+\frac{x^{3}}{3!}+\cdots+\frac{x^{n}}{n!}+\cdots$.
## Step2: Identify the value of x
In the given series $1+\frac{5}{1!}+\frac{25}{2!}+\frac{125}{3!}+\cdots+\frac{5^{n}}{n!}+\cdots$, we can see that $x = 5$.
# Answer:
$e^{5}$