Math 131H Midterm Study Guide PDF

Summary

This document is a study guide for a midterm exam covering topics in calculus, including limits, derivatives, and functions. It contains practice problems and questions.

Full Transcript

Midterm Study Guide (CH 2.1-2.8): Q1: 10 points 5 true or false statements continuity & discontinuity Intermediate Value Theorem (IVT) Limit laws Horizontal & vertical asymptotes Q2: 10 Points Find / Evaluate Limits lim. x-a... lim x→ ∞.. Q3: 10 points Use de nition of derivative to compute f(...

Midterm Study Guide (CH 2.1-2.8): Q1: 10 points 5 true or false statements continuity & discontinuity Intermediate Value Theorem (IVT) Limit laws Horizontal & vertical asymptotes Q2: 10 Points Find / Evaluate Limits lim. x-a... lim x→ ∞.. Q3: 10 points Use de nition of derivative to compute f(x) lim f(x+h) - f(x) f'(x) = h=30 or lim f'(x) = xsa h f(x) - a) x-a 10/09/24 Q4: 10 points Find equation of the tangent line to the graph of a function at a given point Find all points parallel to a on the graph of fox) where the tangent line given straight line fl fi Q5:00 points Identify the domain and range of fcx) sketch the graph of fox) Prove that c (Hint: > Q6: 20 points "E-S" de nition of the line · a Use the "E-S" language to speci c f prove xra that lim f(x) = f(a) for Q1: 20 points lim x700 Prove that x∞ = Prove that : и using squeeze theorem on a given domain of given equation has a solution using the intermediate value theorem (IVT) fi fi fi

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