Mister Exam
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Limit of the function
:
Limit of (1+x^2-4*x)/(1+2*x)
Limit of (-2+x)/(-8+x^3)
Limit of (3+x^2+2*x)/(4+2*x^2+3*x)
Limit of (-x+tan(x))/(x+2*sin(x))
Identical expressions
e^(-x)*tan(x)
e to the power of ( minus x) multiply by tangent of (x)
e(-x)*tan(x)
e-x*tanx
e^(-x)tan(x)
e(-x)tan(x)
e-xtanx
e^-xtanx
Similar expressions
e^(x)*tan(x)
Limit of the function
/
e^(-x)*tan(x)
Limit of the function e^(-x)*tan(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 *tan(x)/ x->oo
lim
x
→
∞
(
e
−
x
tan
(
x
)
)
\lim_{x \to \infty}\left(e^{- x} \tan{\left(x \right)}\right)
x
→
∞
lim
(
e
−
x
tan
(
x
)
)
Limit(E^(-x)*tan(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
-50000
50000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
e
−
x
tan
(
x
)
)
=
0
\lim_{x \to \infty}\left(e^{- x} \tan{\left(x \right)}\right) = 0
x
→
∞
lim
(
e
−
x
tan
(
x
)
)
=
0
lim
x
→
0
−
(
e
−
x
tan
(
x
)
)
=
0
\lim_{x \to 0^-}\left(e^{- x} \tan{\left(x \right)}\right) = 0
x
→
0
−
lim
(
e
−
x
tan
(
x
)
)
=
0
More at x→0 from the left
lim
x
→
0
+
(
e
−
x
tan
(
x
)
)
=
0
\lim_{x \to 0^+}\left(e^{- x} \tan{\left(x \right)}\right) = 0
x
→
0
+
lim
(
e
−
x
tan
(
x
)
)
=
0
More at x→0 from the right
lim
x
→
1
−
(
e
−
x
tan
(
x
)
)
=
tan
(
1
)
e
\lim_{x \to 1^-}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}
x
→
1
−
lim
(
e
−
x
tan
(
x
)
)
=
e
tan
(
1
)
More at x→1 from the left
lim
x
→
1
+
(
e
−
x
tan
(
x
)
)
=
tan
(
1
)
e
\lim_{x \to 1^+}\left(e^{- x} \tan{\left(x \right)}\right) = \frac{\tan{\left(1 \right)}}{e}
x
→
1
+
lim
(
e
−
x
tan
(
x
)
)
=
e
tan
(
1
)
More at x→1 from the right
lim
x
→
−
∞
(
e
−
x
tan
(
x
)
)
\lim_{x \to -\infty}\left(e^{- x} \tan{\left(x \right)}\right)
x
→
−
∞
lim
(
e
−
x
tan
(
x
)
)
More at x→-oo
Rapid solution
[src]
0
0
0
0
Expand and simplify
The graph