Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-64+4^x)/(-3+x)
-
Limit of (3-x^2+5*x)/(4*x^7+81*x)
-
Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
-
Limit of (1-sin(x))/cos(x)
- Integral of d{x}:
-
e^(-x)/sqrt(x)
-
Identical expressions
- e^(-x)/sqrt(x)
- e to the power of ( minus x) divide by square root of (x)
- e^(-x)/√(x)
- e(-x)/sqrt(x)
- e-x/sqrtx
- e^-x/sqrtx
- e^(-x) divide by sqrt(x)
-
Similar expressions
- e^(x)/sqrt(x)
Limit of the function e^(-x)/sqrt(x)
The solution
You have entered
[src]
/ -x \
| e |
lim |-----|
x->oo| ___|
\\/ x /
$$\lim_{x \to \infty}\left(\frac{e^{- x}}{\sqrt{x}}\right)$$
Limit(1/(E^x*(sqrt(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
$$\lim_{x \to \infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- x}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- x}}{\sqrt{x}}\right) = - \infty i$$
More at x→-oo
The graph