Final answer to the 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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Multiply the single term $\ln\left(x\right)$ by each term of the polynomial $\left(x+1\right)$
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$\lim_{x\to0}\left(x\ln\left(x\right)+\ln\left(x\right)-\ln\left(x\right)\right)$
Learn how to solve problems step by step online. Find the limit of ln(x)(x+1)-ln(x) as x approaches 0. Multiply the single term \ln\left(x\right) by each term of the polynomial \left(x+1\right). Cancel like terms \ln\left(x\right) and -\ln\left(x\right). Rewrite the product inside the limit as a fraction. If we directly evaluate the limit \lim_{x\to 0}\left(\frac{\ln\left(x\right)}{\frac{1}{x}}\right) as x tends to 0, we can see that it gives us an indeterminate form.