Maths
Limits
Limits
lim
x
→
0
 
 
sin
 
x
x
=
1
lim
x
→
0
⁢
 
 
e
x
−
1
x
=
1
lim
x
→
0
⁢
 
 
tan
⁢
 
x
x
=
1
lim
k
→
0
  
(
1
+
k
)
1
k
=
e
lim
x
→
∞
(
1
+
n
x
)
x
=
e
n
lim
x
→
0
 
x
a
⁢
 
ln
⁢
 
 
x
=
0
lim
x
→
∞
ln
p
⁢
⁢
x
x
a
=
0
lim
x
→
0
ln
(
x
+
a
)
x
=
a


lim
x
→
∞
x
p
a
x
=
0
⁢
 
 
als
⁢
 
|
a
|
>
1
lim
x
→
0
(
a
1
x
−
1
)
=
ln
⁢
 
a
lim
x
→
0
arcsin
⁢
 
x
x
=
1
lim
x
→
∞
x
x
=
1
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