Function Notation Phone Cases - iPhone and Android

Description: A black background with bold red text at the top reading "THE LIMIT DOES NOT EXIST". Below this, centered, is a mathematical equation in white text. It shows "lim" with "x→0" underneath, followed by a fraction. The numerator is "ln(1 – x) – sin x" and the denominator is "1 – cos²x".

Description: A black background displays a mathematical equation in white text and symbols. The equation begins with an integral symbol from 'n' to 'f', followed by '1', a summation symbol, '(', 'x', '=', and a square root symbol over a summation symbol, followed by ',', '(', 'x', ')', ')'. The words 'Fourier transform' are displayed prominently at the top.

Description: A stark black background displays a mathematical equation in bold white lettering. The equation reads 'e^x x = x^n / n!'. The characters are large and clear, with the exponents positioned above the base variables.

Description: A monochrome text-based representation of the Fourier transform formula. The top line reads 'Fourier transform' in a bold, sans-serif font. Below, the mathematical equation F(\xi) = \int_{-\infty}^{\infty} f(x)e^{-i2\pi x\xi} dx is displayed.

Description: A mathematical expression featuring a large summation symbol on the left, followed by an equals sign. To the right, the text '$x_n \times exomt$' is displayed. Below the summation symbol are the words 'limt' and 'limt dimt', indicating a limit.

Description: A minimalist mathematical equation displayed in white text on a black background. The equation reads "YM(A) = \int ||F||^2 dvol_g". It features an integral symbol, absolute value bars, and superscript notation.

Description: A stark black background displays the text 'Fourier transform' in white serif font at the top. Below, a mathematical equation is presented: 'F(p) = integral from 0 to infinity of f(x) times e to the power of -2ix, dx'. The equation uses white text and mathematical symbols.

Description: A black background with white text displaying a mathematical equation. The equation features an integral symbol from x to m, the function f(tx = xd^2), and a comma at the end. It is a clear, bold typographic presentation of mathematical notation.

Description: A mathematical formula is presented in white text against a black background. The formula reads "P(X = k) = (λk*e^-λ) k / k!". The text is clear and simple, with no additional graphical elements.

Description: A mathematical equation presented in white text on a black background. The equation displays the limit of pi(x) divided by x over ln(x) as x approaches infinity, which equals 1. The equation uses standard mathematical notation.

Description: A mathematical equation displayed in white text on a black background. The equation reads 'lim(1 + 1/2 n)^n as n = e^\u221e'. The text is in a clean, sans-serif font with specific mathematical notation.