Mister Exam

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Other calculators

How to use it?
Sum of series:
1/n!
ln(1-1/n^2)
cos*π*n
cosn/n
Derivative of:
sqrt(x)
Graphing y =:
sqrt(x)
Limit of the function:
sqrt(x)
Identical expressions
sqrt(x)
square root of (x)
√(x)
sqrtx
Similar expressions
sqrt(x+sqrt((x^3)+1))*ln(((x^2)+5)/((x^2)+4))
sqrtx^x/x!

Sum of series/ sqrt(x)

Sum of series sqrt(x)

The solution

You have entered [src]

  45       
 ___       
 \  `      
  \     ___
  /   \/ x 
 /__,      
n = 0

$$\sum_{n=0}^{45} \sqrt{x}$$

Sum(sqrt(x), (n, 0, 45))

The answer [src]

     ___
46*\/ x

$$46 \sqrt{x}$$

46*sqrt(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
```