Mister Exam

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Sum of series:
nⁿ2
nln(n)sin(n)/(n^6-1)
2i+1/n
(2i+1)/n^2
Integral of d{x}:
10^2
Identical expressions
ten ^ two
10 squared
ten to the power of two
102
10²
10 to the power of 2

Sum of series/ 10^2

Sum of series 10^2

The solution

You have entered [src]

$$\sum_{n=1}^{100} 100$$

Sum(100, (n, 1, 100))

The rate of convergence of the power series

The answer [src]

$$10000$$

Numerical answer [src]

10000.0000000000000000000000000

10000.0000000000000000000000000

The graph

Sum of series 10^2

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
```