Final answer to the problem
indeterminate
Step-by-step Solution
How should I solve this problem?
- Solve using limit properties
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
Can't find a method? Tell us so we can add it.
1
Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
$\lim_{x\to0}\left(e^{x\ln\left(\frac{1}{x}\right)}\right)$
Learn how to solve problems step by step online.
$\lim_{x\to0}\left(e^{x\ln\left(\frac{1}{x}\right)}\right)$
Learn how to solve problems step by step online. Find the limit of (1/x)^x as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Simplify the logarithm \ln\left(\frac{1}{x}\right). Evaluate the limit \lim_{x\to0}\left(e^{-x\ln\left(x\right)}\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity.
Final answer to the problem
indeterminate
