Final answer to the problem
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
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Simplify the fraction $\frac{x^{2\log \left(x\right)}}{x\log \left(x\right)}$ by $x$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to0}\left(\frac{x^{\left(2\log \left(x\right)-1\right)}}{\log \left(x\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^(2log(x)))/(xlog(x)) as x approaches 0. Simplify the fraction \frac{x^{2\log \left(x\right)}}{x\log \left(x\right)} by x. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Divide fractions \frac{x^{\left(\frac{2\ln\left(x\right)}{\ln\left(10\right)}-1\right)}}{\frac{\ln\left(x\right)}{\ln\left(10\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.