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CALCULUS SPEEDRUN || Limits || Episode 1

16.5K views on YouTube

►Try these exam-level limit problems yourself in this Maple Learn document: https://learn.maplesoft.com/#/?docId=4705771508203520&key=3A50C9AF56994D9F8EAE9CDA0E5A0FC057D97E1575E8439899BAD5BD2778AD0E
►Study more efficiently with my favorite, free calculator app for your phone or tablet: MAPLE CALCULATOR: https://www.maplesoft.com/products/maplecalculator/download.aspx?p=TC-9857

Welcome to episode 1 of my calculus speedrun. In each video I’ll go over a bunch of actual exam level problems I’ve previously given in my calculus courses as a math professor. In this first video we study limits. We’re going to see 5 examples involving continuity of piecewise functions, exploiting the limit of sin(x)/x, using radical conjugates, limits at infinity, and finally dealing with compositions with continuous functions. If you are a bit more of a beginner at limits, then check out the full Calc 1 playlist below.

0:00 Intro to Calculus Speedrun
0:47 Ex 1: Continuity for Piecewise Functions
3:26 Ex 2: sin(x)/x style limits
6:05 Ex 3: Square roots and radical conjugates
8:49 Ex 4: Limits at infinity
10:55 Ex 5: Limits of compositions

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