Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4-x^2)/(3-x^2)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of 5-9*x+3*x^2/2
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Limit of (-16+x^2)/(-64+x^3)
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Identical expressions
- exp(- one /x^ two)
- exponent of ( minus 1 divide by x squared )
- exponent of ( minus one divide by x to the power of two)
- exp(-1/x2)
- exp-1/x2
- exp(-1/x²)
- exp(-1/x to the power of 2)
- exp-1/x^2
- exp(-1 divide by x^2)
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Similar expressions
- exp(1/x^2)
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What you mean?
- exp(-1/(x^2))
- exp(-1*2/x)
- exp(-1/(x^2))
- exp(-1*2/x)
- exp(-1/(x^2))
- exp(-1/(x^2))
You entered:
exp(-1/x^2)
What you mean?
Limit of the function exp(-1/x^2)
The solution
You have entered
[src]
-1
---
2
x
lim e
x->0+
$$\lim_{x \to 0^+} e^{- \frac{1}{x^{2}}}$$
Limit(exp(-1/(x^2)), 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
One‐sided limits
[src]
-1
---
2
x
lim e
x->0+
$$\lim_{x \to 0^+} e^{- \frac{1}{x^{2}}}$$
0
$$0$$
= 2.82077008846014e-53
-1
---
2
x
lim e
x->0-
$$\lim_{x \to 0^-} e^{- \frac{1}{x^{2}}}$$
0
$$0$$
= 2.82077008846014e-53
= 2.82077008846014e-53
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} e^{- \frac{1}{x^{2}}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x^{2}}} = 0$$
$$\lim_{x \to \infty} e^{- \frac{1}{x^{2}}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{- \frac{1}{x^{2}}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \frac{1}{x^{2}}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \frac{1}{x^{2}}} = 1$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x^{2}}} = 0$$
$$\lim_{x \to \infty} e^{- \frac{1}{x^{2}}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{- \frac{1}{x^{2}}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \frac{1}{x^{2}}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \frac{1}{x^{2}}} = 1$$
More at x→-oo
The graph