Mister Exam
Other calculators
- Taylor Series Step by Step
- Fourier series step by step
- Differential equations Step by Step
- Product of series
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How to use it?
- Sum of series:
- 7x²
- (a*b)^(2n+1)/((2n+1)n!)
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1/9n^2-3n-2
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1+1/n
- Limit of the function:
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1+1/n
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Identical expressions
- one + one /n
- 1 plus 1 divide by n
- one plus one divide by n
- 1+1 divide by n
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Similar expressions
- 1-1/n
- (-1)^n(ln(1+1/(n)^2))
Sum of series 1+1/n
The solution
You have entered
[src]
100 ___ \ ` \ / 1\ ) |1 + -| / \ n/ /__, n = 1
$$\sum_{n=1}^{100} \left(1 + \frac{1}{n}\right)$$
Sum(1 + 1/n, (n, 1, 100))
The rate of convergence of the power series
The answer
[src]
293348137198370259818356753784353345674911 ------------------------------------------ 2788815009188499086581352357412492142272
$$\frac{293348137198370259818356753784353345674911}{2788815009188499086581352357412492142272}$$
293348137198370259818356753784353345674911/2788815009188499086581352357412492142272
The graph
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