Mister Exam

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Sum of series:
(9835^(2k/9835))/(9835+9835^(2k/9835))
9,67+9,61+9,62+9,63+9,58+9,62+9,61
x^2/k^3/2
0,14
Identical expressions
- one ^(i+ one)/i!
minus 1 to the power of (i plus 1) divide by i!
minus one to the power of (i plus one) divide by i!
-1(i+1)/i!
-1i+1/i!
-1^i+1/i!
-1^(i+1) divide by i!
Similar expressions
1^(i+1)/i!
-1^(i-1)/i!

Sum of series/ -1^(i+1)/i!

Sum of series -1^(i+1)/i!

The solution

You have entered [src]

  10          
____          
\   `         
 \      i + 1 
  \   -1      
  /   --------
 /       i!   
/___,         
i = 1

$$\sum_{i=1}^{10} \frac{\left(-1\right) 1^{i + 1}}{i!}$$

Sum((-1^(i + 1))/factorial(i), (i, 1, 10))

The rate of convergence of the power series

The answer [src]

-6235301 
---------
 3628800

$$- \frac{6235301}{3628800}$$

-6235301/3628800

Numerical answer [src]

-1.71828180114638447971781305115

-1.71828180114638447971781305115

The graph

Sum of series -1^(i+1)/i!

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
```