Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-x)^(1/x)
- Limit of (e^(a*x)-e^(b*x))/sin(x)
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Limit of ((-1+5*x^2)/(-1+7*x^2))^(1+5*x)
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Limit of 5*x^4
- Integral of d{x}:
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exp(-x^2)
- Derivative of:
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exp(-x^2)
- Graphing y =:
- exp(-x^2)
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Identical expressions
- exp(-x^ two)
- exponent of ( minus x squared )
- exponent of ( minus x to the power of two)
- exp(-x2)
- exp-x2
- exp(-x²)
- exp(-x to the power of 2)
- exp-x^2
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Similar expressions
- (4+x^2)*exp(-x^2)
- exp(-x^2/2)/x
- exp(x^2)
Limit of the function exp(-x^2)
The solution
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2
-x
lim e
x->oo
$$\lim_{x \to \infty} e^{- x^{2}}$$
Limit(exp(-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