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lim (x,y)→(0,0) (x^2y^2) / (x^4+y^4)
1:04
lim (x,y)→(0,0) (x^2y^2) / (x^4+y^4)
limit x approaches 0 of (sqrt(2)-sqrt(ax^2+b))/x^2 = 1/sqrt(2), then a+b=
2:09
limit x approaches 0 of (sqrt(2)-sqrt(ax^2+b))/x^2 = 1/sqrt(2), then a+b=
limit x approaches 2 of (10+x−g(x))/(x−2) = 3, then limit x approaches 2 of g(x)=
0:55
limit x approaches 2 of (10+x−g(x))/(x−2) = 3, then limit x approaches 2 of g(x)=
Prove |x+y|≥|x|-|y|
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Prove |x+y|≥|x|-|y|
Prove limit n approaches 0 of sqrt(n^2+2) - n = 0
1:40
Prove limit n approaches 0 of sqrt(n^2+2) - n = 0
Prove limit n approaches infinity of n/(n^3-1) = 0
1:53
Prove limit n approaches infinity of n/(n^3-1) = 0
Prove limit n approaches infinity of n/(n^2+3n+1) = 0
1:34
Prove limit n approaches infinity of n/(n^2+3n+1) = 0
Prove limit n approaches infinity of (2n-1)/(n+2) = 2
1:21
Prove limit n approaches infinity of (2n-1)/(n+2) = 2
Prove limit as n approaches infinity of (sin(n)-cos(n))/n equals 0
1:34
Prove limit as n approaches infinity of (sin(n)-cos(n))/n equals 0
Integral of (tan^2x+1)/tanx
0:39
Integral of (tan^2x+1)/tanx
Integral of x^9/sqrt(1-x^20)
0:49
Integral of x^9/sqrt(1-x^20)
limit (x,y) approaches (0,0) of (x^2+y^2)ln(x^2+y^2)
1:47
limit (x,y) approaches (0,0) of (x^2+y^2)ln(x^2+y^2)
limit (x,y) approaches (0,0) of x^2y/(x^2+y^2)
1:09
limit (x,y) approaches (0,0) of x^2y/(x^2+y^2)
5x ≡ 6 mod 8
1:35
5x ≡ 6 mod 8
Are f(x)=2x and g(x)=x^2 uniformly continuous on R?
3:26
Are f(x)=2x and g(x)=x^2 uniformly continuous on R?
3^x congruent to 121 mod 137
3:02
3^x congruent to 121 mod 137
Prove a_n+1=2a_n^2 is strictly decreasing. Is it bounded below?
3:28
Prove a_n+1=2a_n^2 is strictly decreasing. Is it bounded below?
A continuous function defined on a closed interval [7,11] is uniformly continuous. Yes, or No?
0:27
A continuous function defined on a closed interval [7,11] is uniformly continuous. Yes, or No?
How many permutations of the letters ABCDEFG contain the strings BA and GF?
0:53
How many permutations of the letters ABCDEFG contain the strings BA and GF?
Simplify tan^3x cos^5x cscx secx
0:41
Simplify tan^3x cos^5x cscx secx
limit as (x,y) approaches (0,0) of 4xy/(x-2y^2)
2:23
limit as (x,y) approaches (0,0) of 4xy/(x-2y^2)
limit as (x,y) approaches (0,0) of (x^4-4y^2)/(x^2+2y^2)
1:37
limit as (x,y) approaches (0,0) of (x^4-4y^2)/(x^2+2y^2)
limit as (x,y) approaches (1,0) of ln((1+y^2)/(x^2+xy))
0:26
limit as (x,y) approaches (1,0) of ln((1+y^2)/(x^2+xy))
Probability of Selecting Blue Cars from a Dealership (Combinations)
1:59
Probability of Selecting Blue Cars from a Dealership (Combinations)
Find the supremum, infimum, maximum, minimum, interior, boundary: |x-5| less than or equal to 1/2
2:10
Find the supremum, infimum, maximum, minimum, interior, boundary: |x-5| less than or equal to 1/2
Find the supremum, infimum, maximum, minimum, interior, and the boundary points: r less than sqrt(2)
2:34
Find the supremum, infimum, maximum, minimum, interior, and the boundary points: r less than sqrt(2)
Find the supremum and infimum of the following sets and sequences
2:48
Find the supremum and infimum of the following sets and sequences
Let a_n=1+1/sqrt(2)+1/sqrt(3)+...+1/sqrt(n). Prove {a_n} is unbounded
5:35
Let a_n=1+1/sqrt(2)+1/sqrt(3)+...+1/sqrt(n). Prove {a_n} is unbounded
Show that a_n=n/2^n is a monotone sequence
2:02
Show that a_n=n/2^n is a monotone sequence
Prove the sequence a_n=(1*3*...*(2n-1))/(2*4*...*2n) has a limit
4:47
Prove the sequence a_n=(1*3*...*(2n-1))/(2*4*...*2n) has a limit