Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (1+x^3-2*x)/(8+x^10-9*x)
- Limit of x^2+a/(x^3-a^3)-x*(1+a)
- Integral of d{x}:
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e^(-1/x)
- Derivative of:
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e^(-1/x)
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Identical expressions
- e^(- one /x)
- e to the power of ( minus 1 divide by x)
- e to the power of ( minus one divide by x)
- e(-1/x)
- e-1/x
- e^-1/x
- e^(-1 divide by x)
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Similar expressions
- e^(1/x)
- x*e^(-1/x^2)
- 1-e^(-1/x^2)
Limit of the function e^(-1/x)
The solution
You have entered
[src]
-1
---
x
lim E
x->0+
$$\lim_{x \to 0^+} e^{- \frac{1}{x}}$$
Limit(E^(-1/x), x, 0)
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
$$\lim_{x \to 0^-} e^{- \frac{1}{x}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x}} = 0$$
$$\lim_{x \to \infty} e^{- \frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{- \frac{1}{x}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \frac{1}{x}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \frac{1}{x}} = 1$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x}} = 0$$
$$\lim_{x \to \infty} e^{- \frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{- \frac{1}{x}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \frac{1}{x}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \frac{1}{x}} = 1$$
More at x→-oo
One‐sided limits
[src]
-1
---
x
lim E
x->0+
$$\lim_{x \to 0^+} e^{- \frac{1}{x}}$$
0
$$0$$
= -1.09317273940961e-79
-1
---
x
lim E
x->0-
$$\lim_{x \to 0^-} e^{- \frac{1}{x}}$$
oo
$$\infty$$
= 2.59153095912383e-75
= 2.59153095912383e-75
The graph