calculus related queries in MathXchanger | QueryXchanger

How to find the Value of the Limit $ \lim _{x\to 0}\left(\dfrac{\sin\alpha x-\sin\beta x}{e^{\alpha x}-e^{\beta x}}\right)$

calculus limits
Updated October 16, 2018 10:20 AM

Is it true that the number is divided by $p$?

calculus combinatorics algebra-precalculus geometry number-theory
Updated October 16, 2018 10:20 AM

Prove that if $x_1 + x_2 + ... + x_n = n$, then $x_1^k + x_2^k + ... + x_n^k \ge n$

multivariable-calculus inequality holder-inequality jensen-inequality
Updated October 16, 2018 10:20 AM

If $x'(t) \leq f(x(t))$, then $x(t)\leq y(t)$ for which $y'(t)=f(y(t))$?

calculus real-analysis differential-equations inequality
Updated October 16, 2018 09:20 AM

Volume with Coordinates

calculus volume
Updated October 16, 2018 09:20 AM

Prove that a function which converges pointwise to a limit also converges uniformly.

calculus real-analysis convergence
Updated October 16, 2018 06:20 AM

Limit of $\sqrt{4 x^2 - x} + 2 x$ to minus infinity

calculus limits infinity
Updated October 16, 2018 05:20 AM

the difference of functions tends to zero

calculus algebra-precalculus limits functions
Updated October 16, 2018 05:20 AM

Finding the nth partial sum of a telescoping series

calculus sequences-and-series telescopic-series
Updated October 16, 2018 05:20 AM

Discrete-Time External Stability

calculus linear-algebra matrices matrix-equations stability-theory
Updated October 16, 2018 05:20 AM

Integrate $\int_1^4xf''(x)dx$ given some known values

calculus definite-integrals
Updated October 16, 2018 04:20 AM

Finding a continuous function that minimizes an integral expression

calculus probability-distributions
Updated October 16, 2018 04:20 AM

Measurable, bounded subset of $\mathbb{R}$ and irrational number

calculus measure-theory irrational-numbers
Updated October 16, 2018 04:20 AM

$\epsilon - \delta$ proof of the limit $\lim_{x\to1}\frac{1}{x-\frac{3}{2}}=-2$.

calculus limits epsilon-delta
Updated October 16, 2018 04:20 AM

The set {${{x_n} : n ≥ 1}$} has volume zero.

sequences-and-series measure-theory multivariable-calculus
Updated October 16, 2018 02:20 AM

Question on the difference between harmonic series.

calculus real-analysis number-theory harmonic-numbers
Updated October 16, 2018 02:20 AM

Finding the critical points and using the second derivative test to find the local minima or maxima

calculus multivariable-calculus
Updated October 16, 2018 01:20 AM

Recurrence of $\int \left( \frac{\sin\frac{x-a}{2}}{\sin\frac{x+a}{2}}\right)^ndx$

calculus integration indefinite-integrals
Updated October 16, 2018 01:20 AM

Find the volume of the solid obtained by rotating the region bounded by:

calculus
Updated October 16, 2018 01:20 AM

Is $\frac{\partial^2_xf \partial_yf}{\partial_xf}$ a total derivative?

calculus functional-analysis functions
Updated October 16, 2018 01:20 AM

How to solve $2y′′+8y′+80y=F(t), y(0)=0, y′(0)=0$?

calculus differential-equations proof-verification initial-value-problems
Updated October 16, 2018 00:20 AM

Calculus III Limits of Continuity - Nonexistence of limits.

calculus
Updated October 16, 2018 00:20 AM

Why is $\triangledown_x x^TA^TAx = 2A^TAx$ not $2x^TA^TA$?

matrix-calculus
Updated October 16, 2018 00:20 AM

Is $\int_0^1 f(x)dx$ bounded if $\int_0^1 f(x)dx - \int_0^1 f(y)dy$ is bounded?

calculus real-analysis analysis measure-theory proof-verification
Updated October 16, 2018 00:20 AM

Prime counting function $\phi(x)-c(x)$ vs. $x/\ln(x)$

calculus number-theory elementary-number-theory prime-numbers
Updated October 15, 2018 23:20 PM

Quasiconvex plus a linear function

calculus analysis convex-analysis
Updated October 15, 2018 22:20 PM

Measurable, bounded set with positive measure and its subset

calculus analysis measure-theory lebesgue-measure
Updated October 15, 2018 22:20 PM

Locally convex topological space

calculus general-topology functional-analysis measure-theory
Updated October 15, 2018 20:20 PM

If $\tan x-\sin x=a$, what is $\sec^3(x)-1$ in terms of $a$

calculus trigonometry
Updated October 15, 2018 20:20 PM

Bounding $\mathbb{E}[(X(T)Y-\int_{0}^{T}X(s)Z(s)ds)^{2}]$

probability-theory stochastic-calculus
Updated October 15, 2018 18:20 PM

Hierarchy of infinites, doesn't apply here, even though it should be very easy?

calculus
Updated October 15, 2018 17:20 PM

Size of the set of locally $1/2$ Holder continuous times for the Brownian motion

real-analysis probability stochastic-processes stochastic-calculus brownian-motion
Updated October 15, 2018 16:20 PM

Adequate Sets and Well-Formed Formulas

logic propositional-calculus
Updated October 15, 2018 16:20 PM

Maximum value of area of rectangle

calculus
Updated October 15, 2018 16:20 PM

Sequences(monotonic or not)

calculus sequences-and-series
Updated October 15, 2018 16:20 PM

Rudin vs Zorich.

real-analysis multivariable-calculus reference-request soft-question book-recommendation
Updated October 15, 2018 16:20 PM

A diificulty in understanding a formula in Petrovic.

calculus real-analysis analysis
Updated October 15, 2018 15:20 PM

Plot and "meaning" of the function $ f(t, e^{At}\cdot x) = \left(1-\frac{1}{c\cdot r}\ \mathrm{dist}(x,B_r(0) ) \right)^+$

calculus real-analysis geometry functions graphing-functions
Updated October 15, 2018 15:20 PM

Is it possible to integrate tuppers self referential formula?

calculus integration definite-integrals
Updated October 15, 2018 14:20 PM

Methods to find $\lim\limits_{n\to\infty}\frac1n\sum\limits_{k=1}^nn^{1/k} $

calculus real-analysis sequences-and-series limits
Updated October 15, 2018 14:20 PM

if $d|n$, then $S_2(d) \leq S_2(n)$?

calculus abstract-algebra combinatorics geometry number-theory
Updated October 15, 2018 14:20 PM

Find polynomial $p(n)$ such that $\displaystyle \sum_{n=1}^{\infty} \big(\sqrt[4]{n^4+2n^2}-\sqrt[3]{p(n)}\big)$ converges

calculus real-analysis sequences-and-series
Updated October 15, 2018 14:20 PM

Verify Divergence Theorem (using Spherical Coordinates)

calculus surfaces
Updated October 15, 2018 14:20 PM

Maxima and Minima of sinusoidal harmonics with unequal co-efficients

calculus maxima-minima multinomial-coefficients
Updated October 15, 2018 13:20 PM

Multivariable Calculus: Lagrange function

multivariable-calculus lagrange-multiplier
Updated October 15, 2018 12:20 PM

Calculate variations of eigenvectors w.r.t input matrix

eigenvalues-eigenvectors vector-analysis matrix-calculus
Updated October 15, 2018 12:20 PM

How to solve $\lim_{n \to \infty} \frac{n+n^{\frac{1}{2}}+n^{\frac{1}{3}}+...+n^{\frac{1}{n}}}{n}$

calculus limits
Updated October 15, 2018 10:20 AM

Find all values

calculus algebra-precalculus
Updated October 15, 2018 10:20 AM

Is there any special function corresponding to $\int_{-1}^1 \frac{1-e^{b(x-a)}}{(x-a)^2}\sqrt{1-x^2}dx$?

definite-integrals special-functions residue-calculus complex-integration
Updated October 15, 2018 09:20 AM

calculus related issues & queries in MathXchanger