New posts in exponential-function

Solving $p^x = x^q$ [closed]

polynomials exponential-function

Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?

exponential-function quadratics

Is there any proof for this formula $\lim_{n \to \infty} \prod_{k=1}^n \left (1+\frac {kx}{n^2} \right) =e^{x/2}$?

real-analysis special-functions exponential-function infinite-product

Solve: $2^{\cos^{2014}x} - 2^{\sin^{2014} x} = \cos^{2013} (2x)$

trigonometry contest-math exponential-function

Integral of exponential function with polynomial argument

integration exponential-function

Limit involving $(\sin x) /x -\cos x $ and $(e^{2x}-1)/(2x)$, without l'Hôpital

calculus limits trigonometry exponential-function limits-without-lhopital

Physical intuition for the solution to $y' = y$.

sequences-and-series ordinary-differential-equations power-series exponential-function intuition

Derivative of exponential function proof

calculus sequences-and-series limits derivatives exponential-function

Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting "infinitesimally"?

calculus derivatives exponential-function

if $f(x + y) = f(x)f(y)$ is continuous, then it has to be injective.

functions continuity exponential-function functional-equations

How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?

calculus sequences-and-series taylor-expansion exponential-function analytic-functions

What is $ \lim_{n\to\infty}\frac{1}{e^n}\Bigl(1+\frac1n\Bigr)^{n^2}$?

calculus sequences-and-series limits convergence-divergence exponential-function

Convergence of the function series $\sum \frac{n!}{(nx)^n}$ for $x<0$

sequences-and-series limits analysis exponential-function sequence-of-function

Searching two matrix A and B, such that exp(A+B)=exp(A)exp(B) but AB is not equal to BA. [duplicate]

matrices exponential-function functional-calculus

How to modify the function $y=a-be^{-cx}$ so that it will look wavy? [ other forms can be suggested ]

exponential-function graphing-functions curves upper-lower-bounds wave-equation

What is the formula for diminishing percentages?

functions exponential-function

Proof of Euler's formula that doesn't use differentiation?

complex-numbers exponential-function

What is the inverse of $2^x$? [duplicate]

functions logarithms exponential-function inverse

A function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}$...

calculus functions exponential-function elementary-functions

Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$.

algebra-precalculus polynomials exponential-function