Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of tan(pi*x)/(-3+x)
-
Limit of 3/n^4
-
Limit of (-x+atan(x))/x^3
-
Limit of x*(1-e^(1/x))
-
Identical expressions
- x*(one -e^(one /x))
- x multiply by (1 minus e to the power of (1 divide by x))
- x multiply by (one minus e to the power of (one divide by x))
- x*(1-e(1/x))
- x*1-e1/x
- x(1-e^(1/x))
- x(1-e(1/x))
- x1-e1/x
- x1-e^1/x
- x*(1-e^(1 divide by x))
-
Similar expressions
- x*(1+e^(1/x))
Limit of the function x*(1-e^(1/x))
The solution
You have entered
[src]
/ / x ___\\ lim \x*\1 - \/ E // x->oo
$$\lim_{x \to \infty}\left(x \left(1 - e^{\frac{1}{x}}\right)\right)$$
Limit(x*(1 - E^(1/x)), x, oo, dir='-')
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = -1$$
$$\lim_{x \to 0^-}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 1 - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 1 - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = -1$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 1 - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = 1 - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left(1 - e^{\frac{1}{x}}\right)\right) = -1$$
More at x→-oo
The graph