Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of ((-2+x)/x)^(2*x)
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Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
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Limit of (1+x)^(3/2)/(2+x)^(3/2)
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Limit of (-2+sqrt(4+x))/atan(5*x)
- Derivative of:
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e^(x^2)/x
- Graphing y =:
- e^(x^2)/x
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Identical expressions
- e^(x^ two)/x
- e to the power of (x squared ) divide by x
- e to the power of (x to the power of two) divide by x
- e(x2)/x
- ex2/x
- e^(x²)/x
- e to the power of (x to the power of 2)/x
- e^x^2/x
- e^(x^2) divide by x
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Similar expressions
- (1-e^(x^2))/x^2
Limit of the function e^(x^2)/x
The solution
You have entered
[src]
/ / 2\\
| \x /|
|E |
lim |-----|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{e^{x^{2}}}{x}\right)$$
Limit(E^(x^2)/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
One‐sided limits
[src]
/ / 2\\
| \x /|
|E |
lim |-----|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{e^{x^{2}}}{x}\right)$$
oo
$$\infty$$
= 151.006622661783
/ / 2\\
| \x /|
|E |
lim |-----|
x->0-\ x /
$$\lim_{x \to 0^-}\left(\frac{e^{x^{2}}}{x}\right)$$
-oo
$$-\infty$$
= -151.006622661783
= -151.006622661783
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{e^{x^{2}}}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{x^{2}}}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{e^{x^{2}}}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{e^{x^{2}}}{x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{x^{2}}}{x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{x^{2}}}{x}\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{x^{2}}}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{e^{x^{2}}}{x}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{e^{x^{2}}}{x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{x^{2}}}{x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{x^{2}}}{x}\right) = -\infty$$
More at x→-oo
The graph