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Limit of the function
:
Limit of -sin(x)+tan(x)
Limit of cos(x)*tan(5*x)
Limit of -1+sqrt(5)-sqrt(2)-2*x
Limit of ((-1+4*x)/(3+4*x))^(2+3*x)
Derivative of
:
e^(x^2)
Plot
:
e^(x^2)
Equation
:
e^(x^2)
Identical expressions
e^(x^ two)
e to the power of (x squared )
e to the power of (x to the power of two)
e(x2)
ex2
e^(x²)
e to the power of (x to the power of 2)
e^x^2
Similar expressions
-e^(16*x^2)+x*e^(x^2)
(e^(x^2)-cos(x))/x^2
(2+e^(x^2))^(1/x)
(2-e^(x^2))/cos(pi*x)
Limit of the function
/
e^(x^2)
Limit of the function e^(x^2)
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
$$\lim_{x \to \infty} e^{x^{2}}$$
Limit(E^(x^2), 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{x^{2}} = \infty$$
$$\lim_{x \to 0^-} e^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x^{2}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x^{2}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x^{2}} = \infty$$
More at x→-oo
Rapid solution
[src]
oo
$$\infty$$
Expand and simplify
The graph