Mister Exam
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How to use it?
Limit of the function
:
Limit of (6^(2*x)-7^(-2*x))/(-2*x+sin(3*x))
Limit of -35-14*x-6*x^2
Limit of ((1+x)^4-(-1+x)^4)/((1+x)^4+(-1+x)^4)
Limit of 3-sqrt(n)+sqrt(3)*sqrt(n)
Graphing y =
:
-exp(x)
Derivative of
:
-exp(x)
Identical expressions
-exp(x)
minus exponent of (x)
-expx
Similar expressions
exp(x)
Limit of the function
/
-exp(x)
Limit of the function -exp(x)
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]
/ x\ lim \-e / x->oo
lim
x
→
∞
(
−
e
x
)
\lim_{x \to \infty}\left(- e^{x}\right)
x
→
∞
lim
(
−
e
x
)
Limit(-exp(x), x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
0
2
4
6
8
-8
-6
-4
-2
-10
10
-25000
25000
Plot the graph
Rapid solution
[src]
-oo
−
∞
-\infty
−
∞
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
−
e
x
)
=
−
∞
\lim_{x \to \infty}\left(- e^{x}\right) = -\infty
x
→
∞
lim
(
−
e
x
)
=
−
∞
lim
x
→
0
−
(
−
e
x
)
=
−
1
\lim_{x \to 0^-}\left(- e^{x}\right) = -1
x
→
0
−
lim
(
−
e
x
)
=
−
1
More at x→0 from the left
lim
x
→
0
+
(
−
e
x
)
=
−
1
\lim_{x \to 0^+}\left(- e^{x}\right) = -1
x
→
0
+
lim
(
−
e
x
)
=
−
1
More at x→0 from the right
lim
x
→
1
−
(
−
e
x
)
=
−
e
\lim_{x \to 1^-}\left(- e^{x}\right) = - e
x
→
1
−
lim
(
−
e
x
)
=
−
e
More at x→1 from the left
lim
x
→
1
+
(
−
e
x
)
=
−
e
\lim_{x \to 1^+}\left(- e^{x}\right) = - e
x
→
1
+
lim
(
−
e
x
)
=
−
e
More at x→1 from the right
lim
x
→
−
∞
(
−
e
x
)
=
0
\lim_{x \to -\infty}\left(- e^{x}\right) = 0
x
→
−
∞
lim
(
−
e
x
)
=
0
More at x→-oo
The graph