Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-2+2*x^2+log(x))/(e^x-e)
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Limit of (-x^2+4*x)/(2-sqrt(x))
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Limit of ((2+3*x)/(-1+3*x))^(-1+4*x)
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Limit of (3-x+2*x^2)/(5+x^3-8*x)
- Integral of d{x}:
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e^(-x^2)
- Graphing y =:
- e^(-x^2)
- Derivative of:
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e^(-x^2)
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Identical expressions
- e^(-x^ two)
- e to the power of ( minus x squared )
- e to the power of ( minus x to the power of two)
- e(-x2)
- e-x2
- e^(-x²)
- e to the power of (-x to the power of 2)
- e^-x^2
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Similar expressions
- e^(-x^2-y^2)*(x^2+y^2)
- e^(x^2)
Limit of the function e^(-x^2)
The solution
You have entered
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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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} e^{- x^{2}} = 0$$
$$\lim_{x \to 0^-} e^{- x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- x^{2}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- x^{2}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- x^{2}} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} e^{- x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- x^{2}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- x^{2}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- x^{2}} = 0$$
More at x→-oo
The graph