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Use the graphs of f(x) and g(x) to evaluate the following limits if they exist. If they do not exist explain why. Use the symbols +∞ or −∞ as appropriate.

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Presentation on theme: "Use the graphs of f(x) and g(x) to evaluate the following limits if they exist. If they do not exist explain why. Use the symbols +∞ or −∞ as appropriate."— Presentation transcript:

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2 Use the graphs of f(x) and g(x) to evaluate the following limits if they exist. If they do not exist explain why. Use the symbols +∞ or −∞ as appropriate.

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4 Sec 2.3: The Precise Definition of a Limit
Find the limit

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7 Find the slope of the tangent line in two different ways
Exam1-101 Find the slope of the tangent line in two different ways slope of the tangent slope of the tangent Solve the equation

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10 Sec 3.1: Tangents and the Derivative at a Point
slope of the secant slope of the tangent The instantaneous rate of change The average rate of change instantaneous velocity average velocity The speed

11 instantaneous velocity
The speed

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13 Sec 2.5: Continuity Exam1-101

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15 Sec 2.3: The Precise Definition of a Limit
Find all vertical and Horizontal

16 Sec 2.3: The Precise Definition of a Limit
Find the limit

17 Sec 2.3: The Precise Definition of a Limit
Part-1 Part-2 Part-3

18 E1 – TERM121 Part-1 Part-2

19 Sec 3.1: Tangents and the Derivative at a Point
quotient The slope of the tangent to the curve The slope of the secant The slope of the curve Average rate of change instantaneous rate of change Average velocity instantaneous velocity

20 Sec 2.3: The Precise Definition of a Limit
Find the limit

21 Tips on the Exam Hall ( Bld54)
Everyone gets stressed during exams but it's important not to let it get out of control. Start with basmalah Start with basmalah do a quick survey of the entire test so that you know how to efficiently budget your time. Do the easiest problems first. Don't stay on a problem that you are stuck on, especially when time is a factor. Bring a jacket (Maslakh) Work out the timing – Divide your time according to the number of questions to be answered. Read the instructions carefully Plan before you write Make sure that you have answered all the questions. Don’t leave any blank page Write all related formulas Be 5:40 (door close 5:45) Bring a watch to the test so that you can better pace yourself. Use all 60min (DONOT GIVEUP)


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