Calculus: Evaluating Limits and Piecewise Functions, Study notes of Mathematics

A concise overview of limits in calculus, focusing on how to compute one-sided and two-sided limits. It outlines three cases for non-piecewise functions: direct substitution, simplification by factoring or multiplying by the conjugate, and identifying vertical asymptotes using sign charts. The document also addresses how to work with piecewise functions, providing examples for each case. This guide is useful for students learning the fundamentals of calculus and limit evaluation, offering clear steps and examples to aid understanding. It covers essential techniques for evaluating limits, including direct substitution, factoring, and conjugate multiplication. The document also explains how to handle limits involving vertical asymptotes and piecewise functions, providing a comprehensive overview of limit evaluation methods.

Typology: Study notes

2024/2025

Available from 06/20/2025

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GOALS
given afunction compute the one sided and two six units as
APPROACHES AFINITE VALUE
know WHATTO DO FOREACH OF THREE cases For nonpiecewise functions
Pena is aone
GET
GET For Kto
APPLY THE THREE cases AND our intuitive approach to piecewise functions
some important Properties of Limits
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kfpy.MY k
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GOALS

given a^ function^ compute^ the^ one^ sided^ and^ two^ six^ units as

APPROACHES A FINITE VALUE

know WHATTO^ DO^ FOREACH^ OF THREE cases For nonpiecewise functions

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GET

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APPLY THE THREE cases^ AND our^ intuitive^ approach^ to^ piecewise functions

some important^ Properties of Limits

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