Limits
Continuity
Derivatives
Antiderivatives
100
lim x→∞ (x+4)/(x^3-5x+2)
0 (BOBO)
100
f(x)=4 g(x)=7... Find f(x)-g(x)
-3
100
7x-15
7
100
5x^4
x^5
200
lim x→∞ (6x^3 - 4x^2 + 5)/(2x^3 + 7x)
3 (EATS DC)
200
f(x)=5 g(x)=6 h(x)=3... Find h(x)*g(x)-f(x)
13
200
e^x - 7x
e^x - 7
200
7x^2-4x+3
7/3x^3-2x^2+3x
300
lim x→12 √(X+52)
8
300
Is lim x→2 (x-2)/(x^2+4x-12) removable?
Yes
300
lnx + 8x^3 - 5x^6
1/x +24x^2 -30x^5
300
∫sinu du
-cosu+c
400
lim x→0 (sinx)/(x)
1
400
What are the conditions for continuity at x=a?
1. lim x→a exists 2. f(a) exists 3. lim x→a f(x)=f(a)
400
csc(x)
-cscxcotx
400
∫csc^2u du
-cotu + c
500
Explain the Sum Rule
The limit of the sum of two functions is the sum of their limits
500
What are the two types of discontinuity and describe each of them
Removable discontinuity: You can reduce the the limit and remove the discontinuity Non-Removable Discontinuity: If you reduce the limit, you can not remove the discontinuity
500
arc cot(x)
-1/(1+x^2)
500
∫secu du
ln|secu+tanu|+c
M
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