Mister Exam

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Sum of series:
sin
f(x)
f(xi)
(-p+5h-2,5g)*1,5n
Integral of d{x}:
sin
Derivative of:
sin
Graphing y =:
sin
Identical expressions
sin
sinus of

Sum of series/ sin

Sum of series sin

The solution

You have entered [src]

  m         
 __         
 \ `        
  )   sin(x)
 /_,        
n = 1

$$\sum_{n=1}^{m} \sin{\left(x \right)}$$

Sum(sin(x), (n, 1, m))

The answer [src]

m*sin(x)

$$m \sin{\left(x \right)}$$

m*sin(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
```