Mister Exam

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Sum of series:
7x²
(2n+6)*tg(15/(9n+11))
3*n/log(3*n)
1/i
Limit of the function:
1/i
Identical expressions
one /i
1 divide by i
one divide by i
Similar expressions
-1^(i+1)/i!
1/(i*(i+1))
(i+1)/(i)

Sum of series/ 1/i

Sum of series 1/i

The solution

You have entered [src]

  2    
 ___   
 \  `  
  \   1
   )  -
  /   i
 /__,  
i = 1

$$\sum_{i=1}^{2} \frac{1}{i}$$

Sum(1/i, (i, 1, 2))

The rate of convergence of the power series

The answer [src]

3/2

$$\frac{3}{2}$$

3/2

Numerical answer [src]

1.50000000000000000000000000000

1.50000000000000000000000000000

The graph

Sum of series 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
```