query: Uniform convergence of ${f_n(x)=\int_{0}^{x}g_n(t)}dt$ where $g_n(x)=\sin^2(x+\frac{1}{n})$.
positive_passages.docid: 148349
positive_passages.text: Uniform convergence with two sequences of functions
negative_passages.docid: 144530
negative_passages.text: is uniform convergent sequence leads to bounded function?
negative_passages.docid: 26316
negative_passages.text: Convergence of $a_n= \frac{n!}{n^n}$?
negative_passages.docid: 65362
negative_passages.text: Does $\sum{\frac{\sin{(nx)}}{n}}$ converge uniformly for all $x$ in $[0,2\pi]$
negative_passages.docid: 116498
negative_passages.text: Convergence of improper integral $\int_{0}^{1}\frac{\log(x)}{1-x^2}dx$
negative_passages.docid: 35885
negative_passages.text: Monotonicity and convergence of the sequence $a_n=\sum_{k=1}^{n}\frac{1}{k+n}$
negative_passages.docid: 9244
negative_passages.text: Does the sequence $\{\sin^n(n)\}$ converge?
negative_passages.docid: 29751
negative_passages.text: Dini's Theorem and tests for uniform convergence
negative_passages.docid: 145335
negative_passages.text: Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
negative_passages.docid: 10547
negative_passages.text: $\int_0^\infty \frac{\sin(x^2+ax)}{x}\,dx$ converges
negative_passages.docid: 24056
negative_passages.text: Convergence of the improper integral $\int_{0}^{\pi/2}\tan^{p}(x) \; dx$
negative_passages.docid: 124498
negative_passages.text: Show that $\int_{-\infty}^{\infty} \dfrac{x^2}{(x^2+1)^2(x^2+2x+2)} \ dx$ is convergent.
negative_passages.docid: 76593
negative_passages.text: Show that $f_n(z)=z^n$ converges locally uniformly on $|z|<1$ but not uniformly(?)
negative_passages.docid: 146024
negative_passages.text: Help with counter-example on uniformly convergence.
negative_passages.docid: 90558
negative_passages.text: A question related to a convergence of an integral
negative_passages.docid: 44261
negative_passages.text: Convergence of $\sum^\infty_{n=1} \ln(1+\frac 1 {2^n})$
negative_passages.docid: 23368
negative_passages.text: Does $\int_1^2\frac{\sin{x}}{\log{x}} \, dx$ converge?