Mister Exam

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Sum of series:
1/((n+14)(n+15))
6/((3*n-1)*(3*n+5))
log5(x)
64
Graphing y =:
log5(x)
Derivative of:
log5(x)
Identical expressions
log5(x)
logarithm of 5(x)
log5x

Sum of series/ log5(x)

Sum of series log5(x)

The solution

You have entered [src]

  12        
 ___        
 \  `       
  \   log(x)
   )  ------
  /   log(5)
 /__,       
n = 2

$$\sum_{n=2}^{12} \frac{\log{\left(x \right)}}{\log{\left(5 \right)}}$$

Sum(log(x)/log(5), (n, 2, 12))

The answer [src]

11*log(x)
---------
  log(5)

$$\frac{11 \log{\left(x \right)}}{\log{\left(5 \right)}}$$

11*log(x)/log(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
```