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Limit of the function
:
Limit of 7^(1/(-3+x))
Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
Derivative of
:
e^(2-x)
Integral of d{x}
:
e^(2-x)
Identical expressions
e^(two -x)
e to the power of (2 minus x)
e to the power of (two minus x)
e(2-x)
e2-x
e^2-x
Similar expressions
e^(2+x)
Limit of the function
/
e^(2-x)
Limit of the function e^(2-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]
2 - x lim E x->oo
$$\lim_{x \to \infty} e^{2 - x}$$
Limit(E^(2 - 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
Plot the graph
Rapid solution
[src]
0
$$0$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{2 - x} = 0$$
$$\lim_{x \to 0^-} e^{2 - x} = e^{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{2 - x} = e^{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{2 - x} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{2 - x} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{2 - x} = \infty$$
More at x→-oo
The graph