Lab2_f11 - Math 116 Lab 2 Fall 2011 Limits continuity discontinuity rate of change average rate of change differentiation tangent lines

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Unformatted text preview: Math 116 - Lab 2 - Fall 2011. Limits, continuity, discontinuity, rate of change, average rate of change, differentiation, tangent lines, velocity, (Sections 2.1-2.3, 2.5, 3.2 of L/G). You are to provide full solutions to the following problems. You are allowed to collaborate with your classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions is not encouraged, nor is it allowed or ethical. Last name: First name: Student number: 1 Math 116 - Lab 2 - Fall 2011. Student number: Limits, continuity, discontinuity, rate of change, average rate of change, differentiation, tangent lines, velocity, (Sections 2.1-2.3, 2.5, 3.2 of L/G). 1. Limit questions. Compute the following limits justifying steps carefully. a) lim t → 4 parenleftBigg t 2- 4 t + 1 3 t- 7 parenrightBigg 3 / 2 b) lim φ → sin8 φ sin7 φ c) lim φ → 4 φ 2 1- cos 2 φ d) lim x → 4 f ( x ) if f ( x ) = braceleftBigg 1 x when x ≤ 4 4 x- 5 8 when x > 4 2. Limits at infinity. Compute the following limits justifying steps carefully.2....
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This note was uploaded on 12/28/2011 for the course MATH 116 taught by Professor Robertandre during the Spring '11 term at Waterloo.

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Lab2_f11 - Math 116 Lab 2 Fall 2011 Limits continuity discontinuity rate of change average rate of change differentiation tangent lines

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