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Evaluating $\int P(\sin x, \cos x) \text{d}x$
calculus
integration
faq
Prove $0! = 1$ from first principles
algebra-precalculus
factorial
faq
Overview of basic results about images and preimages
functions
elementary-set-theory
reference-request
online-resources
faq
Intuition behind Matrix Multiplication
matrices
intuition
faq
What Does it Really Mean to Have Different Kinds of Infinities?
elementary-set-theory
intuition
infinity
faq
Where is the flaw in this "proof" that 1=2? (Derivative of repeated addition)
calculus
recreational-mathematics
fake-proofs
faq
Units and Nilpotents
abstract-algebra
ring-theory
faq
About $\lim \left(1+\frac {x}{n}\right)^n$
limits
exponential-function
faq
Show that the set of all finite subsets of $\mathbb{N}$ is countable.
elementary-set-theory
faq
In a family with two children, what are the chances, if one of the children is a girl, that both children are girls?
probability
faq
Universal Chord Theorem
calculus
faq
Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$
calculus
limits
radicals
faq
indeterminate-forms
Why is negative times negative = positive?
abstract-algebra
algebra-precalculus
arithmetic
education
faq
Highest power of a prime $p$ dividing $N!$
algebra-precalculus
elementary-number-theory
factorial
faq
Any open subset of $\Bbb R$ is a countable union of disjoint open intervals
real-analysis
general-topology
big-list
faq
Prove that $\lim \limits_{n \to \infty} \frac{x^n}{n!} = 0$, $x \in \Bbb R$.
limits
factorial
faq
Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$
probability
probability-theory
expected-value
faq
Proof $1+2+3+4+\cdots+n = \frac{n\times(n+1)}2$
sequences-and-series
algebra-precalculus
summation
arithmetic-progressions
faq
How can you prove that a function has no closed form integral?
real-analysis
calculus
integration
faq
differential-algebra
Zero to the zero power – is $0^0=1$?
algebra-precalculus
exponentiation
indeterminate-forms
faq
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