Mister Exam

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How to use it?
Sum of series:
t^k*(-1)^k*a^(2*k)*cos(a*x)*e^(a*z)/factorial(k)
(-1)^n*(2*2)^(2*n)/factorial(2*n)
sqrt(n)-2*sqrt(n+1)+sqrt(n+2)
arcctg((n+1)/(n^2-3))
Identical expressions
sqrt(one + one)/ one
square root of (1 plus 1) divide by 1
square root of (one plus one) divide by one
√(1+1)/1
sqrt1+1/1
sqrt(1+1) divide by 1
Similar expressions
sqrt(1-1)/1

Sum of series/ sqrt(1+1)/1

Sum of series sqrt(1+1)/1

The solution

You have entered [src]

  10       
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 \      ___
  \   \/ 2 
  /   -----
 /      1  
/___,      
i = 1

\sum_{i=1}^{10} \frac{\sqrt{2}}{1}

Sum(sqrt(2)/1, (i, 1, 10))

The rate of convergence of the power series

The answer [src]

     ___
10*\/ 2

10 \sqrt{2}

10*sqrt(2)

Numerical answer [src]

14.1421356237309504880168872421

14.1421356237309504880168872421

The graph

Sum of series sqrt(1+1)/1

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
```