query: the uniform convergence of the sequence of functions
positive_passages.docid: 150305
positive_passages.text: $f_{n+1}(x):= \int_a ^x f_n(t)dt$, $\sum_{m=1} ^{\infty} f_m(x)$ is uniformly convergent
negative_passages.docid: 20287
negative_passages.text: Convergence Problem.
negative_passages.docid: 71140
negative_passages.text: Pointwise limit of the sequence of continuously differentiable functions defined inductively.
negative_passages.docid: 87834
negative_passages.text: How can we show that the following sequence converges?
negative_passages.docid: 47693
negative_passages.text: Applying Arzela-Ascoli to show pointwise convergence on $\mathbb{R}$.
negative_passages.docid: 135110
negative_passages.text: Pointwise convergence of $h_n(x) = x^{1+\frac{1}{2n-1}}$
negative_passages.docid: 136594
negative_passages.text: Proving the existence of a sequence of polynomials convergent to a continuous function $f$.
negative_passages.docid: 60556
negative_passages.text: Uniform convergence, Bounded derivative.
negative_passages.docid: 91785
negative_passages.text: Test the uniform convergency of a series of function
negative_passages.docid: 66198
negative_passages.text: Sufficient condition for convergence of a real sequence
negative_passages.docid: 35514
negative_passages.text: If $\{f_n\}$ converges uniformly and each $f_n$ is bounded, show that $\exists M>0$ s.t. $|f_n(x)| \leq M$
negative_passages.docid: 62406
negative_passages.text: Sequence of polynomials which converge uniformaly to 1/z
negative_passages.docid: 148349
negative_passages.text: Uniform convergence with two sequences of functions
negative_passages.docid: 62892
negative_passages.text: Uniform convergence of $\sum_{n=1}^{\infty}\frac{1}{n(1+(x-n)^2)}$
negative_passages.docid: 69254
negative_passages.text: Which of the following series is uniformly convergent?
negative_passages.docid: 124382
negative_passages.text: Showing that $f_n:[0,1]\to\mathbb{R}$ when $f_n=nx(1-x)^n$ converges pointwise but not uniformly
negative_passages.docid: 88147
negative_passages.text: Show that $g_n(x)=nf(x+1/n)-nf(x)$ converges uniformly to $f'$