“The following is exactly what we mean by a LIMIT. …let the several values of x… bea1 a2 a3 a4.... &c.;then if by passing from a1 to a2, from a2 to a3, &c.;, we continually approach to a certain quantity l [lower case L, for "limit"], so that each of the set differs from l by less than its predecessors; and if, in addition to this, the approach to l is of such a kind, that name any quantity we may, however small, namely z, we shall at last come to a series beginning, say with an, and continuing ad infinitum,an an+1 an+2.... &c.;all the terms of which severally differ from l by less than z: then l is called the limit of x with respect to the supposition in question.”

“Take a unit, halve it, halve the result, and so on continually. This gives—1 1⁄2 1⁄4 1⁄8 1⁄16 1⁄32 1⁄64 1⁄128 &c.;Add these together, beginning from the first, namely, add the first two, the first three, the first four, &c;… We see then a continual approach to 2, which is not reached, nor ever will be, for the deficit from 2 is always equal to the last term added.
…We say that—1, 1 + 1⁄2, 1 + 1⁄2 + 1⁄4, 1 + 1⁄2 + 1⁄4 + 1⁄8, &c.; &c.;is a series of quantities which continually approximate to the limit 2. Now the truth is, these several quantities are fixed, and do not approximate to 2. …it is we ourselves who approximate to 2, by passing from one to another. Similarly when we say, "let x be a quantity which continually approximates to the limit 2," we mean, let us assign different values to x, each nearer to 2 than the preceding, and following such a law that we shall, by continuing our steps sufficiently far, actually find a value for x which shall be as near to 2 as we please.”

“When… we have a series of values of a quantity which continually diminish, and in such a way, that name any quantity we may, however small, all the values, after a certain value, are severally less than that quantity, then the symbol by which the values are denoted is said to diminish without limit. And if the series of values increase in succession, so that name any quantity we may, however great, all after a certain point will be greater, then the series is said to increase without limit. It is also frequently said, when a quantity diminishes without limit, that it has nothing, zero or 0, for its limit: and that when it increases without limit it has infinity or ∞ or 1⁄0 for its limit.”

“If a is any definite number, then all numbers of the system R fall into two classes, A1 and A2, each of which contains infinitely many individuals; the first class A1 comprises all numbers a1 that are < a, the second class A2 comprises all numbers a2 that are > a; the number a itself may be assigned at pleasure to the first or second class, being respectively the greatest number of the first class or the least of the second. In every case the separation of the system R into the two classes A1, A2 is such that every number of the first class A1 is less than every number of the second class A2.”

“Measurements which may be made on the surface of the earth… is an example of a 2-dimensional congruence space of positive curvature K = \frac{1}{R^2}… [C]onsider… a "small circle" of radius r (measured on the surface!)… its perimeter L and area A… are clearly less than the corresponding measures 2\pi r and \pi r^2… in the Euclidean plane. …for sufficiently small r (i. e., small compared with R) these quantities on the sphere are given by 1):L = 2 \pi r (1 - \frac{Kr^2}{6} + …),
A = \pi r^2”

“Wherever we go we do harm, forgiving
ourselves as wheels do cement for wearing
each other out. We set this house
on fire, forgetting that we live within.

(from "To a Meadowlark," for M. L. Smoker)”

“The Reverend C. L. Dodgson had no life. He passed through the world so lightly that he left no print. He melted so passively into Oxford that he is invisible.”

“My name is L and I'm from a part of town where clowns, Get beat down and all you hear is gunshot sounds”

“I'm so fancy,
You already know.
I'm in the fast lane,
From L. A. to Tokyo.
I'm so fancy,
Can't you taste this gold?
Remember my name, 'bout to blow.”

“this is what I've noticed so far about people, people are like
🌺 🌸 F L O W E R S 🌸 🌺 they come in different shapes and sizes and colors and come from different places were like flowers… were ✨ B E A U T I F U L ✨ no matter what you are. So DON'T let anyone make fun of the color of your skin or nationality or weight or height or if your part of the
🏳️‍🌈 LGBTQ+ 🏳️‍🌈 community or the language you speak. 💕 L O V E 💕 💕 Y O U R S E L F 💕
💕 F O R 💕 💕 W H O 💕 💕 Y O U 💕 💕 A R E 💕”