Mister Exam

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Sum of series:
3i
e^n/n^10
n^2*x^n
n^3
Canonical form:
-0.5
-0.5
Identical expressions
- zero . five
minus 0.5
minus zero . five
Similar expressions
0.5

Sum of series/ -0.5

Sum of series -0.5

The solution

You have entered [src]

$$\sum_{n=-1}^{3} - \frac{1}{2}$$

Sum(-1/2, (n, -1, 3))

The rate of convergence of the power series

The answer [src]

-5/2

$$- \frac{5}{2}$$

-5/2

Numerical answer [src]

-2.50000000000000000000000000000

-2.50000000000000000000000000000

The graph

Sum of series -0.5

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
```