Function Evaluator CalcLens

Type a function and the values you want it at. Faster than a calculator, and it never forgets to tell you when the function has no value somewhere.

Any letter works as the variable — write -16t^2+32t+48 and the table labels itself t.

x f(x)

Function Evaluator

A calculator for one function at many values. Type the function, choose the values, read the table.

The four ways to choose values

Approach
Closes in on a number from both sides — 0.9, 0.99, 0.999 then 1.001, 1.01, 1.1 — with the number itself in the middle. This is the shape a limit table wants, and typing it by hand is exactly the drudgery worth skipping.
List
Whatever values you name, separated by commas.
Range
From, to, and a step — an evenly spaced grid.
One value
A single evaluation.

Undefined is an answer

Where a function has no value, the table says undefined and keeps the row. It is not skipped and not shown as an error, because in a limit table that row is the whole point: has no value at x = 1, and the table exists to show what happens near 1 anyway.

The variable follows the function

Write and the columns label themselves t. You never have to tell it which letter you meant.

On a phone

This page is built to be opened from a QR code and used instead of a calculator. Everything is reachable one-handed and the table stays readable at phone width.

Putting it in a slide or a link

?f=(x%5E2-1)%2F(x-1)&x=~1
?f=1%2Fx&x=10,100,1000
?f=x%5E2&x=0:2:0.25

The x parameter carries the values in every mode: a number, a comma list, from:to:step, or ~a to approach a. See docs/url-api.md.