Limits
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100
lim x➝∞ (5x^2)/(7x^2)
5/7
100
∫ 7/8x^2 dx
7/24x^3 + c
100
f(x)= sin(cos(x))
f'(x)= -cos(cos(x))sin(x)
100
Solve for x: 8x^2+16x-24=0
x=-3,1
100
How many holes are there on a golf course?
18
200
lim x➝∞ (x(3x))/(5x^3)
0
200
∫ xcos(x^2)dx
1/2sin(x^2) + c
200
f(x)= tan(x)cos(x)
f'(x)= cos(x)
200
What is the volume of a cone formula?
π/3r^2h
200
How many players can one team have on the ice in a game of hockey?
6
300
lim x➝∞ (5-x^2)/(x-6)
DNE / ∞
300
∫-cos(x) + csc^2(x) + 4x dx
-sin(x) - tan(x) + 2x^2 + c
300
f(x)= e^2x(cos(x))
f'(x)= 2e^2x(cos(x)) - e^2x(sin(x))
300
What is the missing angle in the special right triangle 90°-60°-__?
30
300
What country hosted the most recent Olympic Games?
Brazil
400
lim x➝∞ (1)
1
400
∫ e^5x + e^-2X dx
(e^5x)/5 + (-e^-2x)/2 + c
400
f(x)= cos(e^sin(x))
f'(x)= sin(e^sin(x))(cos(x)e^sin(x))
400
Is f(x)=sin(x) odd or even?
Odd
400
How many teams are there in the NBA?
30
500
lim x➝0 (cosx-1)/x
0
500
∫ xe^x dx
xe^x -e^x + c
500
f(x)= arccot(x)
f'(x)= -1/(x^2 + 1)
500
sin(3π/2)
-1
500
What football team won the most recent Super Bowl?
New England Patriots
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