Let $f(x,y)$ be a real valued function of two variables, defined for $a (Can we use Dominated Convergence Theorem to prove this?)
Dominated Convergence with continuous variable?
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real-analysis
integration
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4How about: $\lim_{x \to x_0} \phi(x) = L$ if and only if for every sequence $x_n$ with $x_n \to x_0$ we have $\lim_{n \to \infty} \phi(x_n) = L$. – 2012-10-23