ROC? You mean ROTC?
The Limits of my Sanity
To Infinity and Perhaps Not Beyond
Conspicuous Continuity
Derive Deez Nuts
100

Find the rate of change g(x) = 4 - x^2 over [1,2]

What is -3?

100

limx->1 √ (10x-1) 

What is 3? 

100

Solve for the vertical asymptote in h(t) = 2t / (6+t)

What is a vertical asymptote at x = -6?

100

Determine 

f(x) = 2x if x< 6 

f(x) = x-1 if x >/ 6 

is continuous @ x = 6

What is NOT continuous?

100

Determine the derivative of f(x)=6

What is 0?

200

Find ROC of f(x) = 5+cosx over the interval [0, π/2]?

What is -2/π?

200

g(x)=-3x2+x+1

h(x) = x-2

F is a function that satisfies g(x)<f(x)<h(x) for all x. Find the limx->-1f(x)?

What is -3?

200

limx-> ∞ (4x3-7x2) / (5x4-8x)

What is 0?

200

Determine whether f(x) = (4x+5)/(9-3x) is continuous @ x= -1

What is continuous?

200

Determine the derivative of g(x)=x^2

What is 2x?

300

Find ROC for a(x) = lnx ; [1,e]

What is 1/(e-1)?
300

limx->4 (x- 2x - 8) / (x - 4)

What is 6?

300

Solve lim x->∞ cos(1/x) + 4e-x

What is 1?

300

Determine 

f(x) = 3-x if x </ 2 

 x^2/2 if x > 2

is continuous @ x=2

What is not continuous?

300

Determine the derivative of f(x)=2x^3 − 1 

What is 6x^2?

400

Find equation of secant line and put it in slope-intercept form

v(t) = t^3 - t ; [-2,2]

What is y = 3x?

400

limx->4 (√x - 2) / (x - 4)

What is 1/4?

400

Find the asymptotes in f(x) = ((4x-1)*(x+1)) / ((x-2)*(x+3))

A) Horizontal 

B) Vertical

What is the horizontal asymptote @ y= 4?

What is the vertical asymptote @ x = 2, x=-3? 

400

Show h(t) = (4t + 10) / (t- 2t - 15) is NOT continuous.

(Hint: There are two points that it isn't continuous)

What is x=-3 and x=5?

400

Determine the derivative of g(t) = 5/t

What is -5/t^2?

500

Using interval [x , x + h], find expression that represents the slope of secant line:

f(x) = √ x

What is 1 / √ ( (x+h) + √ x)

500

limx->0 ( (x-2)2 - 4) / x

What is -4?

500

Solve for the horizontal asymptote f(x) = (8 - 4x2) / (9x2 + 5x)?

What is horizontal asymptote at x = -4/9?

500

Solve limx->0 (ex-1)/ex

What is 1?

500

Determine the derivative of V(t) = (t+1)/(t+4)

What is 3/(t+4)^2?

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