Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using direct substitution
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- 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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$\lim_{x\to1}\left(\frac{\frac{e}{2}\left(e^{-1}e^x-1\right)}{x-1}\right)$
Learn how to solve problems step by step online. Find the limit of (e/2(e^xe^(-1)-1))/(x-1) as x approaches 1. Simplifying. When multiplying exponents with same base we can add the exponents. Multiply the single term \frac{e}{2} by each term of the polynomial \left(e^{\left(x-1\right)}-1\right). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.