Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (x/(1+2*x))^x
-
Limit of sin(3)^2/x
-
Limit of x*2^x*3^(-x)
-
Limit of -sin(x)+tan(x)
- Derivative of:
-
x+e^x
- Factor polynomial:
- x+e^x
-
Identical expressions
- x+e^x
- x plus e to the power of x
- x+ex
-
Similar expressions
- x*e^(x/2)/(x+e^x)
- x-e^x
- x+e^x*(1+x)
Limit of the function x+e^x
The solution
You have entered
[src]
/ x\ lim \x + e / x->oo
$$\lim_{x \to \infty}\left(x + e^{x}\right)$$
Limit(x + E^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
$$\lim_{x \to \infty}\left(x + e^{x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(x + e^{x}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + e^{x}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + e^{x}\right) = 1 + e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + e^{x}\right) = 1 + e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + e^{x}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x + e^{x}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + e^{x}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + e^{x}\right) = 1 + e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + e^{x}\right) = 1 + e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + e^{x}\right) = -\infty$$
More at x→-oo
The graph