Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of (2+n)/n
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Limit of exp(1/x)
-
Limit of 1-cos(x)/x^2
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Limit of log(2*x)*log(-1+2*x)
- Graphing y =:
- exp(1/x)
- Derivative of:
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exp(1/x)
- Integral of d{x}:
- exp(1/x)
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Identical expressions
- exp(one /x)
- exponent of (1 divide by x)
- exponent of (one divide by x)
- exp1/x
- exp(1 divide by x)
Limit of the function exp(1/x)
The solution
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[src]
1
1*-
x
lim e
x->0+
$$\lim_{x \to 0^+} e^{1 \cdot \frac{1}{x}}$$
Limit(exp(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
One‐sided limits
[src]
1
1*-
x
lim e
x->0+
$$\lim_{x \to 0^+} e^{1 \cdot \frac{1}{x}}$$
oo
$$\infty$$
= -3.6866953016766e-75
1
1*-
x
lim e
x->0-
$$\lim_{x \to 0^-} e^{1 \cdot \frac{1}{x}}$$
0
$$0$$
= -1.43738767003715e-78
= -1.43738767003715e-78
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} e^{1 \cdot \frac{1}{x}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{1 \cdot \frac{1}{x}} = \infty$$
$$\lim_{x \to \infty} e^{1 \cdot \frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{1 \cdot \frac{1}{x}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{1 \cdot \frac{1}{x}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{1 \cdot \frac{1}{x}} = 1$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} e^{1 \cdot \frac{1}{x}} = \infty$$
$$\lim_{x \to \infty} e^{1 \cdot \frac{1}{x}} = 1$$
More at x→oo
$$\lim_{x \to 1^-} e^{1 \cdot \frac{1}{x}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{1 \cdot \frac{1}{x}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{1 \cdot \frac{1}{x}} = 1$$
More at x→-oo
The graph