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Limit of the function
:
Limit of -35-14*x-6*x^2
Limit of (-exp(-x)-2*x+exp(x))/(x-sin(x))
Limit of e^(-n*x)/n
Limit of (e^(5*x)-e^x)/(x^3+asin(x))
Identical expressions
e^(-n*x)/n
e to the power of ( minus n multiply by x) divide by n
e(-n*x)/n
e-n*x/n
e^(-nx)/n
e(-nx)/n
e-nx/n
e^-nx/n
e^(-n*x) divide by n
Similar expressions
e^(n*x)/n
Limit of the function
/
e^(-n*x)/n
Limit of the function e^(-n*x)/n
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
You have entered
[src]
/ -n*x\ |E | lim |-----| x->oo\ n /
lim
x
→
∞
(
e
−
n
x
n
)
\lim_{x \to \infty}\left(\frac{e^{- n x}}{n}\right)
x
→
∞
lim
(
n
e
−
n
x
)
Limit(E^((-n)*x)/n, x, oo, dir='-')
Rapid solution
[src]
None
None
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
e
−
n
x
n
)
\lim_{x \to \infty}\left(\frac{e^{- n x}}{n}\right)
x
→
∞
lim
(
n
e
−
n
x
)
lim
x
→
0
−
(
e
−
n
x
n
)
=
1
n
\lim_{x \to 0^-}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}
x
→
0
−
lim
(
n
e
−
n
x
)
=
n
1
More at x→0 from the left
lim
x
→
0
+
(
e
−
n
x
n
)
=
1
n
\lim_{x \to 0^+}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}
x
→
0
+
lim
(
n
e
−
n
x
)
=
n
1
More at x→0 from the right
lim
x
→
1
−
(
e
−
n
x
n
)
=
e
−
n
n
\lim_{x \to 1^-}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}
x
→
1
−
lim
(
n
e
−
n
x
)
=
n
e
−
n
More at x→1 from the left
lim
x
→
1
+
(
e
−
n
x
n
)
=
e
−
n
n
\lim_{x \to 1^+}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}
x
→
1
+
lim
(
n
e
−
n
x
)
=
n
e
−
n
More at x→1 from the right
lim
x
→
−
∞
(
e
−
n
x
n
)
\lim_{x \to -\infty}\left(\frac{e^{- n x}}{n}\right)
x
→
−
∞
lim
(
n
e
−
n
x
)
More at x→-oo