MATH
Login Or Sign up

List Question

15
1k
Views

Monotonic bounded sequence has a unique limit point

Published on
#sequences-and-series #limits
71
Views

If $a_n$ is a decreasing series of positive numbers show that $c_n = \sqrt[n]{\prod_{i=1}^n a_i}+ \sqrt[n]{\sum_{i=1}^n a_i^n}$ converges

Published on
#calculus #sequences-and-series
66
Views

What is going wrong in this log expansion?

Published on
#real-analysis #sequences-and-series
79
Views

If $|s_n|\leq C \sqrt{n}\log n$ for some $C>0$, then is $|t_n|\leq C \sqrt{n}\log n$ true?

Published on
#calculus #real-analysis #sequences-and-series
75
Views

Proving that $\lim_{n\to\infty}x_n = x$ implies that $\lim_{n\to\infty}p(x_n) = p(x)$ where $p$ is a polynomial.

Published on
#real-analysis #sequences-and-series #limits #proof-verification
51
Views

Systematic way of 'zeroing out' some values of a function?

Published on
#sequences-and-series #limits #trigonometry #summation
139
Views

Cambridge Tripos 2016 Analysis: Radius of Convergence Question

Published on
#real-analysis #sequences-and-series #convergence-divergence #power-series
84
Views

What is the exact limit of $a_n=-\frac1e+e^{(\frac1e)^{...^{\frac{1}{e^n}}}}$ for $n \to \infty$

Published on
#sequences-and-series #limits #integers
48
Views

Prove that the following Fourier series is right.

Published on
#sequences-and-series #definite-integrals #fourier-series
71
Views

Limit of a sequence defined by a product

Published on
#sequences-and-series #limits #limsup-and-liminf
49
Views

Prove that $g(x)=\sum_{n\ge 1} \frac{1}{n^2}e^{\int_0^x t\sin(t/n) dt}$ is a $C^1$ function

Published on
#calculus #real-analysis #sequences-and-series
205
Views

Alternating harmonic series rearrangement

Published on
#calculus #sequences-and-series
367
Views

Integration of Taylor series

Published on
#calculus #integration #sequences-and-series #derivatives #taylor-expansion
125
Views

Need help showing $\left(\frac{n^2 - 2n + 1}{n^2-4n+2}\right)^n \to e^2$

Published on
#sequences-and-series #limits
595
Views

prove that if a series of functions converges uniformly in D...

Published on
#calculus #real-analysis #sequences-and-series #uniform-convergence #sequence-of-function

Trending Questions

Popular # Hahtags

second-order-logic numerical-methods puzzle logic probability number-theory winding-number real-analysis integration calculus complex-analysis sequences-and-series proof-writing set-theory functions homotopy-theory elementary-number-theory ordinary-differential-equations circles derivatives game-theory definite-integrals elementary-set-theory limits multivariable-calculus geometry algebraic-number-theory proof-verification partial-derivative algebra-precalculus

Popular Questions

Copyright © 2021 JogjaFile Inc.