Mister Exam

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Sum of series:
3^(n+3)/(4^(n-1)*5^n)
x^(n-1)/factorial(n-1)
2^(n+1)/factorial(n+1)
x²
Identical expressions
x^(n- one)/factorial(n- one)
x to the power of (n minus 1) divide by factorial(n minus 1)
x to the power of (n minus one) divide by factorial(n minus one)
x(n-1)/factorial(n-1)
xn-1/factorialn-1
x^n-1/factorialn-1
x^(n-1) divide by factorial(n-1)
Similar expressions
x^(n-1)/factorial(n+1)
x^(n+1)/factorial(n-1)

Sum of series/ x^(n-1)/factorial(n-1)

Sum of series x^(n-1)/factorial(n-1)

The solution

You have entered [src]

  oo          
____          
\   `         
 \      n - 1 
  \    x      
  /   --------
 /    (n - 1)!
/___,         
n = 1

$$\sum_{n=1}^{\infty} \frac{x^{n - 1}}{\left(n - 1\right)!}$$

Sum(x^(n - 1)/factorial(n - 1), (n, 1, oo))

The answer [src]

x
e

$$e^{x}$$

exp(x)

Examples of finding the sum of a series

The Sum of the Power Series
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Flint Hills Series
```
csc(n)^2/n^3
```
Basel problem
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Harmonic series
```
1/n
```
Grandi's series
```
(-1)^n
```
Alternating series
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Newton–Mercator series
```
(-1)^(n + 1)/n*x^n
```
Exam the series for convergence
```
(3*n - 1)/(-5)^n
```