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:
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sin(3n)/(7n)^(1/5)
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arctg1/(2n^2)
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cos(i*n)/2^n
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1/(n*ln(n)*(ln(ln(n)))^2)
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Identical expressions
- (three *x^ two - two *x+ three)/factorial(x+ one)
- (3 multiply by x squared minus 2 multiply by x plus 3) divide by factorial(x plus 1)
- (three multiply by x to the power of two minus two multiply by x plus three) divide by factorial(x plus one)
- (3*x2-2*x+3)/factorial(x+1)
- 3*x2-2*x+3/factorialx+1
- (3*x²-2*x+3)/factorial(x+1)
- (3*x to the power of 2-2*x+3)/factorial(x+1)
- (3x^2-2x+3)/factorial(x+1)
- (3x2-2x+3)/factorial(x+1)
- 3x2-2x+3/factorialx+1
- 3x^2-2x+3/factorialx+1
- (3*x^2-2*x+3) divide by factorial(x+1)
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Similar expressions
- (3*x^2+2*x+3)/factorial(x+1)
- (3*x^2-2*x+3)/factorial(x-1)
- (3*x^2-2*x-3)/factorial(x+1)
Sum of series (3*x^2-2*x+3)/factorial(x+1)
The solution
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oo ____ \ ` \ 2 \ 3*x - 2*x + 3 / -------------- / (x + 1)! /___, x = 0
$$\sum_{x=0}^{\infty} \frac{\left(3 x^{2} - 2 x\right) + 3}{\left(x + 1\right)!}$$
Sum((3*x^2 - 2*x + 3)/factorial(x + 1), (x, 0, oo))
The rate of convergence of the power series
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