Limits approaching Infinity
Limits approaching a number
General Derivatives
Evaluating Derivatives
Go Greta section!! Nasty pommie company up to no good :)
100
As x-> infinity, the limit of the function (x+7)/(3x+5) is this value...
What is (1/3)?
100
As x->3, the limit of the function (2x^2- 6x)/(x-3) is this value...
What is 6?
100
If f(x)= 3x^2, the derivative, f'(x), is this...
What is 6x?
100
If f(x)= x^3, the value of f'(4) is this number....
What is 48?
100

As of right now BP will have to pay at most this amount of money in billions of $ for the oil spill clean-up... (Find the lim x->infinity, (100x^2 + 8x)/(10x^2-7).)

What is $10 billion?

200
As x->infinity, the limit of the function 100/(x^2+5) is this value...
What is zero?
200
As x->3, the limit of the function (2x-6)/(x^2-3x) is this value...
What is (2/3)?
200
If f(x)=8x^7 + x^3, the derivative, f'(x), is this...
What is 56x^6 + 3x^2?
200
If f(x)= 2x^4 + 3x, the value of f'(5) is this number...
What is 1003?
200
Estimated total costs of the oil spill is this amount in billions of dollars... (Find lim x->7, (2x^2+2x)/(x+1).)
What is $14 billion?
300
As x-> infinity, the limit of the function (7x^2+x-100)/(2x^2-5x) is this value...
What is (7/2) or 3.5?
300

As x->2, the limit of the function (4x^2-8x)/(x-2) is this value...

What is 8?

300
If f(x)= x^(1/2), the derivative, f'(x), is this...
What is (1/2)x^(-1/2)?
300
If f(x)= x^-1, the value of f'(2) is this number...
What is (-1/4) or -0.25?
300

So far BP has been able to contain this fraction of the total oil leak... (Solve lim x->infinity, (x^3 + 2x +1)/(3x^3 -2x +9).)

What is (1/3)?

400
As x-> infinity, the limit of the function (x^2-3x+7)/(x^3+10x-4) is this value...
What is zero?
400

As x->1, the limit of the function [(x^2-1)/(x-1)] is this value...

What is 2?

400

If f(x)= x + 4+ 3x^(-1), the derivative, f'(x), is this...

What is 1 - 3x^(-2)?

400
If f(x)=5x^2 + (2/3)x^3, the value of f'(10) is this number...
What is 300?
400

The oil is traveling in the ocean at this speed in kilometres per hour.... (Find d'(t)= 40t + 14.)

What is 40 kmh^-1?

500
As x-> infinity, the limit of the function (1+1/x)^x is this value...
What is the natural number e? (or 2.718)
500
As x->2, the limit of the function (x^2+x-6)/(2x-4) is this value...
What is (5/2) or 2.5?
500
If f(x)= (1/4)x^2 + √x + 5x^(-1), the derivative, f'(x), is this...
What is (1/2)x + (1/2)x^(-1/2) - 5x^(-2)?
500
If f(x)=8x^7 + 6x^5 - 5x^2 + 3x, the value of f'(1) is this number...
What is 79?
500

The distance that wind travels after t hours, which makes the oil travel even faster, is modeled by the function d(t)= 14t^2+t. The speed of the wind at 2 hours is this many kph... 

What is 29 kph?

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