Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-6+x^2-x)/(6+x^2-5*x)
-
Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
-
Limit of -2+|-2+x|/x
-
Limit of (-4-8*x+8*x^2)/(3+8*x)
- Derivative of:
-
x*e^(2*x)
- Integral of d{x}:
-
x*e^(2*x)
-
Identical expressions
- x*e^(two *x)
- x multiply by e to the power of (2 multiply by x)
- x multiply by e to the power of (two multiply by x)
- x*e(2*x)
- x*e2*x
- xe^(2x)
- xe(2x)
- xe2x
- xe^2x
Limit of the function x*e^(2*x)
The solution
You have entered
[src]
/ 2*x\ lim \x*E / x->oo
$$\lim_{x \to \infty}\left(e^{2 x} x\right)$$
Limit(x*E^(2*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
$$\lim_{x \to \infty}\left(e^{2 x} x\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{2 x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{2 x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{2 x} x\right) = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{2 x} x\right) = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{2 x} x\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{2 x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{2 x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{2 x} x\right) = e^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{2 x} x\right) = e^{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{2 x} x\right) = 0$$
More at x→-oo
The graph