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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(n+1)^2/2^(n-1)
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(-1)^n/n
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ln(n+1)/n
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log(1+1/n)-log(1+1/(n+1))
- Integral of d{x}:
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sqrt(x)*cos(x)
- Graphing y =:
- sqrt(x)*cos(x)
- Derivative of:
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sqrt(x)*cos(x)
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Identical expressions
- sqrt(x)*cos(x)
- square root of (x) multiply by co sinus of e of (x)
- √(x)*cos(x)
- sqrt(x)cos(x)
- sqrtxcosx
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Similar expressions
- sqrt(x)*cosx
Sum of series sqrt(x)*cos(x)
The solution
You have entered
[src]
10 ___ \ ` \ ___ / \/ x *cos(x) /__, x = 1
$$\sum_{x=1}^{10} \sqrt{x} \cos{\left(x \right)}$$
Sum(sqrt(x)*cos(x), (x, 1, 10))
The rate of convergence of the power series
The answer
[src]
___ ___ ___ ___ ___ ____ ___ 2*cos(4) + 3*cos(9) + \/ 2 *cos(2) + \/ 3 *cos(3) + \/ 5 *cos(5) + \/ 6 *cos(6) + \/ 7 *cos(7) + \/ 10 *cos(10) + 2*\/ 2 *cos(8) + cos(1)
$$3 \cos{\left(9 \right)} + \sqrt{10} \cos{\left(10 \right)} + \sqrt{3} \cos{\left(3 \right)} + 2 \cos{\left(4 \right)} + \sqrt{2} \cos{\left(2 \right)} + 2 \sqrt{2} \cos{\left(8 \right)} + \cos{\left(1 \right)} + \sqrt{5} \cos{\left(5 \right)} + \sqrt{7} \cos{\left(7 \right)} + \sqrt{6} \cos{\left(6 \right)}$$
2*cos(4) + 3*cos(9) + sqrt(2)*cos(2) + sqrt(3)*cos(3) + sqrt(5)*cos(5) + sqrt(6)*cos(6) + sqrt(7)*cos(7) + sqrt(10)*cos(10) + 2*sqrt(2)*cos(8) + cos(1)
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