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Convergence of specific power series

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#analysis #summation #power-series #uniform-convergence #pointwise-convergence
60
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Counting Problem Involving Intersecting Sets

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#combinatorics #discrete-mathematics #elementary-set-theory #summation
97
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Value of $\lim\limits_{n\rightarrow\infty}\prod\limits_{k=3}^n\left(1-\tan^4\frac{\pi}{2^k}\right)=\frac{\pi^3}{m}$

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#trigonometry #summation
53
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Summation notation for $1*3+2*4+3*5+...+40*42$

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#algebra-precalculus #summation #notation #solution-verification
543
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What would the infinite sum of c^n/n converge to?

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#sequences-and-series #convergence-divergence #summation #exponential-sum
41
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How could you use comparison test to solve this series?

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#convergence-divergence #summation
105
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$\sum_{k=1}^{2004}\frac{1}{1+\tan^{2}\left(\frac{k\pi}{2\cdot2005}\right)}$

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#algebra-precalculus #trigonometry #summation
144
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distributive law with summations

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#summation
30
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How to proceed with Vandermonde's formula when it's multipled with iterating variable?

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#combinatorics #summation #combinations #combinatorial-proofs
64
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How do we know the range of a double summation?

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#summation
89
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Evaluation of infinite sum

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#calculus #summation
153
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Why doesn't Vandermonde's identity work in this case?

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#combinatorics #summation #binomial-coefficients
76
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What is meant by $\sum_{d \le x}f(d)$ in this equation?

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#summation #notation #divisor-sum #arithmetic-functions #dirichlet-series
112
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Partial Sum of Alternating Sequence Involving Binomial Coefficients

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#combinatorics #summation #binomial-coefficients
51
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Is $\sum_{n=1}^\infty nc_n(x-1)^n$ equivalent to $\sum_{n=0}^\infty nc_n(x-1)^n$?

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#algebra-precalculus #ordinary-differential-equations #summation

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