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.
574
-
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 a 50% commission on every question that your affiliated users ask or answer.
- 1 Answer
- 396 views
- Pro Bono
Related Questions
- Is it possible to transform $f(x)=x^2+4x+3$ into $g(x)=x^2+10x+9$ by the given sequence of transformations?
- Evaluate the limit Please explain all steps
- Integrate $\int x^2\sin^{-1}\left ( \frac{\sqrt{a^2-x^2} }{b} \right ) dx$
- Does $\lim_{(x,y)\rightarrow (0,0)}\frac{(x^2-y^2) \cos (x+y)}{x^2+y^2}$ exists?
- Help with Business calculus. Finding derivative for X of given function.
- Volume of the solid of revolution for $f(x)=\sin x$
- Calculus - 2nd order differential equations and partial derivatives
- A rectangular garden plot is to be fenced off along the property line.