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$\lim_{x\to1}\left(\frac{\frac{\frac{e}{2}\left(e^{\left(x-1\right)}-1\right)}{x}x}{x-1}\right)$
Learn how to solve problems step by step online. Find the limit (x)->(1)lim(((e/2(e^(x-1)-1))/xx)/(x-1)). Simplifying. Multiplying the fraction by x. Simplify the fraction \frac{\frac{e}{2}\left(e^{\left(x-1\right)}-1\right)x}{x} by x. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.