Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-3+sqrt(1+4*x))/(-2+x)
-
Limit of 1/(-8+x)
-
Limit of (1/x)^(log(1+x)/log(2-x))
-
Limit of (1-cos(6*x))/(1-cos(8*x))
- Graphing y =:
- exp(-1/x)
-
Identical expressions
- exp(- one /x)
- exponent of ( minus 1 divide by x)
- exponent of ( minus one divide by x)
- exp-1/x
- exp(-1 divide by x)
-
Similar expressions
- exp(-1/x^2)/x
- exp(1/x)
- exp(-1/x^2)/x^2
Limit of the function exp(-1/x)
The solution
You have entered
[src]
-1
---
x
lim e
x->oo
$$\lim_{x \to \infty} e^{- \frac{1}{x}}$$
Limit(exp(-1/x), x, oo, dir='-')
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
$$\lim_{x \to \infty} e^{- \frac{1}{x}} = 1$$
$$\lim_{x \to 0^-} e^{- \frac{1}{x}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- \frac{1}{x}} = e^{-1}$$
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
$$\lim_{x \to 0^-} e^{- \frac{1}{x}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \frac{1}{x}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- \frac{1}{x}} = e^{-1}$$
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
The graph