query: $f(x+1/n)\to f$ in $L^1(\mathbb{R})$
positive_passages.docid: 142637
positive_passages.text: If $f \in \mathcal{L}^1(\mathbb{R})$ then $\lim_{h\rightarrow 0}\int_{-\infty}^\infty |f(x+h)-f(x)|dx\rightarrow 0$
negative_passages.docid: 43907
negative_passages.text: Contraction mapping in the context of $f(x_n)=x_{n+1}$.
negative_passages.docid: 14830
negative_passages.text: A transformation of F[x]
negative_passages.docid: 68165
negative_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 144222
negative_passages.text: If $f(x + 1) + f(x − 1) = f(x), \forall x \in \mathbb{R}$,then how to find $k$ such that $f(x + k) = f(x)$?
negative_passages.docid: 39073
negative_passages.text: Proving that: $\forall n \in \mathbb{N} :|f^{(n)}(x)|\leq \frac{1}{n+1}$
negative_passages.docid: 106531
negative_passages.text: A Fourier transform of a continuous $L^1$ function
negative_passages.docid: 81223
negative_passages.text: Real Analysis Question: continuity of $f(x) = \sum_{q_n<x} 1/n^2$
negative_passages.docid: 121198
negative_passages.text: $W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?
negative_passages.docid: 98255
negative_passages.text: Find $f(x)$ such that $f(f(x)) = x^2 - 2$
negative_passages.docid: 74170
negative_passages.text: Prove that $\lim_{x \to +\infty} \frac{f(x)}{x} = L$ if $\lim_{x \to +\infty} [f(x+1) - f(x)] = L \space$
negative_passages.docid: 144422
negative_passages.text: How to prove that $\lim\limits_{x\to\infty} f(x)/x=L$
negative_passages.docid: 11879
negative_passages.text: If $\lim_{n\rightarrow\infty} f(n+1) - f(n) = L$, prove that $\lim_{n\rightarrow\infty} f(n)/n = L$
negative_passages.docid: 145368
negative_passages.text: How to show $f:Y\to X^{+}$ is continuous?
negative_passages.docid: 34940
negative_passages.text: Continuity of $f(x) = x^n$
negative_passages.docid: 118154
negative_passages.text: $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ twice
negative_passages.docid: 93408
negative_passages.text: Trying to show that $\ln(x) = \lim_{n\to\infty} n(x^{1/n} -1)$