Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3+sqrt(1+4*x))/(-2+x)
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Limit of 1/(-8+x)
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Limit of (1-cos(6*x))/(1-cos(8*x))
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Limit of (1-cos(3*x))/(-1+cos(7*x))
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Identical expressions
- exp(- one /x^ two)/x
- exponent of ( minus 1 divide by x squared ) divide by x
- exponent of ( minus one divide by x to the power of two) divide by x
- exp(-1/x2)/x
- exp-1/x2/x
- exp(-1/x²)/x
- exp(-1/x to the power of 2)/x
- exp-1/x^2/x
- exp(-1 divide by x^2) divide by x
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Similar expressions
- exp(1/x^2)/x
Limit of the function exp(-1/x^2)/x
The solution
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[src]
/ -1 \
| ---|
| 2|
| x |
|e |
lim |----|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right)$$
Limit(exp(-1/x^2)/x, x, 0)
The graph
One‐sided limits
[src]
/ -1 \
| ---|
| 2|
| x |
|e |
lim |----|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right)$$
0
$$0$$
= 3.10284709730615e-52
/ -1 \
| ---|
| 2|
| x |
|e |
lim |----|
x->0-\ x /
$$\lim_{x \to 0^-}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right)$$
0
$$0$$
= -3.10284709730615e-52
= -3.10284709730615e-52
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- \frac{1}{x^{2}}}}{x}\right) = 0$$
More at x→-oo
The graph