Interactive math exercises — limits semester 1

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Limits

An interactive book that builds limits step by step: why we study them and how they settle the tug-of-war inside a function (the number e), the meaning of a limit, one-sided limits, evaluating limits algebraically, indeterminate forms, and limits at infinity and infinite limits with their asymptotes — with graded exercises, hints and detailed solutions.

lim
The world of limits: why we study them and the tug-of-war inside a function
→a
The meaning of a limit: what the function approaches near a value
a±
One-sided limits: from the right, from the left, and when a limit exists
f(a)
Evaluating limits algebraically: direct substitution, factoring and simplifying
⁰⁄₀
Indeterminate forms: zero over zero and how to handle them
x→∞
Limits at infinity and horizontal asymptotes
±∞
Infinite limits and vertical asymptotes
lim✓
Comprehensive practice on limits