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Limit of the function:
Limit of (-1+e^x)/sin(x)
Limit of (1+e^x)^(1/x)
Limit of sin(2*x)/sin(x)
Limit of -2+e^x-e^(-x)-sin(x)
Integral of d{x}:
e^(-x^2)
Graphing y =:
e^(-x^2)
Derivative of:
e^(-x^2)
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
Similar expressions
e^(-x^2-y^2)*(x^2+y^2)
e^(x^2)

Limit of the function/ e^(-x^2)

Limit of the function e^(-x^2)

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

Rapid solution [src]

0

Expand and simplify

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

The graph

Limit of the function e^(-x^2)