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