∫ Calculus I

Number sets, functions, limits, continuity, derivatives, integrals, series and differential equations. Every topic with step-by-step theory, worked examples and solved exercises.

📋 Formulario

Complete Theory

Worked Examples

Example 1Limit with 0/00/0 indeterminate form
Example 2Important limit with substitution

Exercises with Solutions

Exercise 1Limits with indeterminate formsMedium
📋 Problem to solve
(a) lim⁡x→3x2−9x−3\lim_{x\to3}\dfrac{x^2-9}{x-3} (b) lim⁡x→+∞2x3−xx3+5\lim_{x\to+\infty}\dfrac{2x^3-x}{x^3+5} (c) lim⁡x→0tan⁡xx\lim_{x\to0}\dfrac{\tan x}{x}
Exercise 2AsymptotesHard
📋 Problem to solve
Find all asymptotes of f(x)=x2−1xf(x)=\dfrac{x^2-1}{x}.
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Recommended Books

Introductory
Calculus: Early Transcendentals
Stewart, Clegg, Watson
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