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Is $\sum_{n=2}^{\infty}\frac{(-1)^n}{\sqrt n+(-1)^n}$ convergent?
sequences-and-series
analysis
proof-verification
alternative-proof
Find the Roots of $(x+1)(x+3)(x+5)(x+7) + 15 = 0$
proof-verification
soft-question
proof-writing
alternative-proof
Determinants of matrices defined by the minimum/maximum indices of their entries
linear-algebra
matrices
determinant
alternative-proof
Algebraic proof of a trig matrix identity?
matrices
trigonometry
alternative-proof
Integral $\int_0^1 \frac{dx}{\sqrt[3]{x(1-x)}(1-x(1-x))}$
integration
definite-integrals
alternative-proof
Inequality $\binom{2n}{n}\leq 4^n$
inequality
binomial-coefficients
alternative-proof
Normalizer of upper triangular group in ${\rm GL}(n,F)$
abstract-algebra
group-theory
alternative-proof
A proof of the product rule using the single variable chain rule?
calculus
alternative-proof
Does law of large numbers converge in $L^1$?
probability-theory
martingales
alternative-proof
A more natural solution to finding the general terms of a recurrence relation in $2$ variables
recurrence-relations
contest-math
alternative-proof
$\left\lfloor \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{1024}}\right\rfloor =?$
calculus
integration
summation
soft-question
alternative-proof
A beautiful inequality for convex functions
integration
inequality
convex-analysis
alternative-proof
Find the area of the triangular region KHQ,
geometry
euclidean-geometry
triangles
alternative-proof
plane-geometry
Proving that $(-1)^{n+1}G_n =\int_0^\infty \frac{1}{(1+x)^n (\pi^2+\ln^2 x)} dx$
integration
definite-integrals
improper-integrals
alternative-proof
Proving $\sum_{k=1}^n{k^2}=\frac{n(n+1)(2n+1)}{6}$ without induction [duplicate]
calculus
summation
alternative-proof
Can you get a non-principal ultrafilter on N using Choice but 'avoiding' Zorn's Lemma?
elementary-set-theory
alternative-proof
axiom-of-choice
filters
Alternative proof of simple integral inequality
contest-math
alternative-proof
integral-inequality
An identity satisfied by 'harmonic numbers' [duplicate]
summation
intuition
alternative-proof
harmonic-numbers
Show that the product of two consecutive natural numbers is never a square.
proof-verification
alternative-proof
Proof of Euclid's lemma using fundamental theorem of arithmetic
elementary-number-theory
alternative-proof
prime-factorization
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