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Calculus
Miscellaneous
Some helpful algebraic generalities to review when stuck.
a
x
+
b
=
x
⋅
(
a
+
b
x
)
ax + b = x \cdot (a + \frac{b}{x})
a
x
+
b
=
x
⋅
(
a
+
x
b
)
a
⋅
b
=
a
⋅
b
\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}
a
⋅
b
=
a
⋅
b
e
=
lim
n
→
∞
(
1
+
1
n
)
n
e = \lim \limits_{n \to \infty } \left( {1 + \frac{1}{n}} \right)^n
e
=
n
→
∞
lim
(
1
+
n
1
)
n
lim
n
→
∞
(
x
n
n
!
)
=
0
\lim \limits_{n \to \infty} \left( \frac{x^n}{n!} \right) = 0
n
→
∞
lim
(
n
!
x
n
)
=
0
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Last updated
5 years ago
