Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- Integral of d{x}:
- exp(-x^2)/x
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Identical expressions
- exp(-x^ two)/x
- exponent of ( minus x squared ) divide by x
- exponent of ( minus x to the power of two) divide by x
- exp(-x2)/x
- exp-x2/x
- exp(-x²)/x
- exp(-x to the power of 2)/x
- exp-x^2/x
- exp(-x^2) divide by x
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Similar expressions
- exp(x^2)/x
Limit of the function exp(-x^2)/x
The solution
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/ 2\
| -x |
|e |
lim |----|
x->-oo\ x /
$$\lim_{x \to -\infty}\left(\frac{e^{- x^{2}}}{x}\right)$$
Limit(exp(-x^2)/x, x, -oo)
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
$$\lim_{x \to -\infty}\left(\frac{e^{- x^{2}}}{x}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{e^{- x^{2}}}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{e^{- x^{2}}}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- x^{2}}}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(\frac{e^{- x^{2}}}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{e^{- x^{2}}}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- x^{2}}}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- x^{2}}}{x}\right) = e^{-1}$$
More at x→1 from the right
The graph