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Math
Limits
Notable limits
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Created by
Kirill
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Cards (3)
First notable limit:
lim
x
→
0
(
e
x
−
1
x
)
e
q
u
a
l
s
1
\lim_{x\to0}(\frac{e^x-1}{x}) \, equals\, 1
lim
x
→
0
(
x
e
x
−
1
)
e
q
u
a
l
s
1
Second notable limit:
lim
x
→
0
l
n
(
x
+
1
)
x
=
\lim_{x\to0}\frac{ln(x+1)}{x}=
lim
x
→
0
x
l
n
(
x
+
1
)
=
1
1
1
Third notable limit:
lim
x
→
+
∞
(
1
+
1
x
)
x
=
\lim_{x\to+\infty}(1+\frac{1}{x})^x =
lim
x
→
+
∞
(
1
+
x
1
)
x
=
e
e
e
