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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Simplifying
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$\lim_{x\to0}\left(\frac{\frac{\frac{e}{2}\left(e^x-1\right)}{e}\left(x+1\right)}{x+1}\right)$
Learn how to solve problems step by step online. Find the limit of ((e/2(e^x-1))/e(x+1))/(x+1) as x approaches 0. Simplifying. Simplify the fraction . Take \frac{\frac{e}{2}}{e} out of the fraction. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}.