silemus
.
Examples
Join waitlist
450+ answers, drawn step by step.
The tutor's own answers to exam questions, replayed. Pick a level and watch one.
Middle school
High school
SAT
University
Calculus
All 51 →
1
Limit of
sin
(
3
x
)
/
x
\sin(3x)/x
sin
(
3
x
)
/
x
2
Limit by factoring
3
Limit of
(
1
+
2
/
x
)
x
(1 + 2/x)^x
(
1
+
2/
x
)
x
4
L'Hopital's rule, limit
5
Limit at infinity, rational function
6
Limit of
(
1
−
cos
x
)
/
x
2
(1 - \cos x)/x^2
(
1
−
cos
x
)
/
x
2
7
Limit of
(
tan
x
−
x
)
/
x
3
(\tan x - x)/x^3
(
tan
x
−
x
)
/
x
3
8
Limit of
x
e
−
x
x e^{-x}
x
e
−
x
Linear algebra
All 52 →
1
Determinant of a
2
×
2
2\times 2
2
×
2
matrix
2
3
×
3
3\times 3
3
×
3
determinant expansion
3
Determinant, upper triangular
4
Determinant of a
3
×
3
3\times 3
3
×
3
matrix
5
Eigenvalues of a diagonal matrix
6
Eigenvalues of a
2
×
2
2\times 2
2
×
2
matrix
7
Eigenvalues of a
2
×
2
2\times 2
2
×
2
matrix
8
Eigenvalues of a
2
×
2
2\times 2
2
×
2
matrix
Probability
All 52 →
1
Probability of even on a die
2
P
(
sum
=
7
)
P(\text{sum} = 7)
P
(
sum
=
7
)
with two dice
3
Sum of two dice
≥
10
\ge 10
≥
10
4
Exactly 2 heads in 3 tosses
5
Binomial probability
P
(
X
=
5
)
P(X = 5)
P
(
X
=
5
)
6
Binomial
P
(
X
=
0
)
P(X = 0)
P
(
X
=
0
)
7
Binomial
P
(
X
≥
1
)
P(X \ge 1)
P
(
X
≥
1
)
8
Mean and variance, Binomial