Lim x-> +0 ((e^(-1/x))/xª))
1 Answer
The limit is zero for any value of $a$ as the exponetial functions decays faster than any polynomial.
Savionf
455
-
So I wouldn't get an indeterminate form of 0/0 ? Thank you in advance
-
The limit is of type 0/0, but it converges to zero for any value of a.
-
-
Oh okay and this is because the 0 of x is insignificant compared to the 0 of the exponential ?
-
Yes, e^{-1/x} decays faster than any polynomial.
-
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- 1 Answer
- 98 views
- Pro Bono
Related Questions
- Need help with finding equation of the plane containing the line and point. Given the symmetric equation.
- Use Rouche’s Theorem to show that all roots of $z ^6 + (1 + i)z + 1 = 0$ lines inside the annulus $ \frac{1}{2} \leq |z| \leq \frac{5}{4}$
- Is $\int_1^{\infty}\frac{x+\sqrt{x}+\sin x}{x^2-x+1}dx$ convergent?
- Convergence of $\int_{1}^{\infty} e^{\sin(x)}\cdot\frac{\sin(x)}{x^2} $
- Limits calculus problem
- Second order directional derivative
- Create a rational function, g(x) that has the following properties.
- Integrate $\int e^{\sqrt{x}}dx$
