Final answer to the problem
indeterminate
Step-by-step Solution
How should I solve this problem?
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- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- 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
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1
Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
$\lim_{x\to0}\left(e^{x\ln\left(\ln\left(x\right)\right)}\right)$
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$\lim_{x\to0}\left(e^{x\ln\left(\ln\left(x\right)\right)}\right)$
Learn how to solve problems step by step online. Find the limit of ln(x)^x as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to0}\left(e^{x\ln\left(\ln\left(x\right)\right)}\right) by replacing all occurrences of x by 0. \ln(0) grows unbounded towards minus infinity. Simplify e^{0\ln\left(- \infty \right)} by applying the properties of exponents and logarithms.
Final answer to the problem
indeterminate
