a.r.c./i.r.c. /continuity trig limits limits definitions/ facts 500 400 300 200 100 200 300 400 500...

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Math 165 SI

CalculusA.R.C./I.R.C./

ContinuityTrig LimitsLimits

Definitions/Facts

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What is the average rate of change

if when substituting values in for x very close to c it approaches L and no other number

What is the definition of a limit

What is the Instantaneous Rate of Change

When you can trace you finger cross the graph of a function without picking it up

What is a continuous function?

1. Jump discontinuity2. The function grows too large

3. Oscillates, does not settle in on a single number

What are the three ways a limit fails to exist ?

)

6

)

1/2

)

-1

)

75

)

12

)

0

)

4

)

4

)

0

)

3

Find A.R.C. of cot(x) on the interval [π/4, 3π/4]

-π/4

Determine the Intervals on which the function ((3x^2-x-2)/(x-1))is continuous

(-,1),(1,

Find an equation for the tangent line of x^3-12x at the point (1, -11)

y=-9x-2

For what value of a is f(x)= continuous at every x

4/3

For what value of a and b is f(x)= continuous at every x

A=5/2, b=-1/2

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