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Expressing the $n-$th derivative of $f(x)=\frac{3x^2-6x+5}{x^3-5x^2+9x-5}$

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#analysis #functions #derivatives #complex-numbers #binomial-theorem
253
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Expressing the $n$–th derivative of $y=\frac{1}{(1+x^2)^2}$

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#real-analysis #complex-analysis #analysis #binomial-theorem
54
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Laurent Series Expansion of $e^{(\frac{w}{2})(z-z^{-1})}$

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#complex-analysis #taylor-expansion #exponential-function #binomial-theorem #laurent-series
84
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Everyone casts a vote at random, probability someone gets a majority of votes

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#probability #combinatorics #binomial-coefficients #binomial-theorem #binomial-distribution
81
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Binomial Distribution - combinations formula

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#binomial-coefficients #binomial-theorem #binomial-distribution
178
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For how many $n$ is $2021^n$ + $2022^n$ + $2023^n$ + ... + $2029^n$ prime?

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#combinatorics #number-theory #binomial-coefficients #binomial-theorem
1.2k
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Validity of binomial expansion for any power

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#binomial-coefficients #binomial-theorem
48
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Obtaining a closed form for a series

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#sequences-and-series #binomial-theorem
76
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Find the value of $\lim\limits_{n \to \infty} \left(1+\frac{C_0}{C_1}\right)\left(1+\frac{C_1}{C_2}\right)\cdots\left(1+\frac{C_{n-1}}{C_n}\right).$

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#sequences-and-series #limits #solution-verification #binomial-coefficients #binomial-theorem
99
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Coefficient of $(1+x+x^2)^n$

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#binomial-theorem
54
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Finding binomial Coefficient using expansion

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#binomial-coefficients #binomial-theorem
27
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Generalised binomial function

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#sequences-and-series #summation #binomial-theorem
426
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Binomial Sum with Power of index

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#combinatorics #summation #binomial-theorem
101
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Number of terms in product of two monomials with common terms

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#combinatorics #binomial-theorem #multinomial-theorem
36
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sum multiple of binomial cofficient

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#combinatorics #combinations #binomial-coefficients #binomial-theorem #binomial-distribution

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