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Multiplying fractions $\frac{e\left(e^{\left(x-1\right)}-1\right)}{x} \times \frac{x}{2}$
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$\lim_{x\to2}\left(\frac{\frac{e\left(e^{\left(x-1\right)}-1\right)x}{2x}}{\frac{-x}{2}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(2)lim(((e(e^(x-1)-1))/xx/2)/((-x)/2)). Multiplying fractions \frac{e\left(e^{\left(x-1\right)}-1\right)}{x} \times \frac{x}{2}. Simplify the fraction \frac{e\left(e^{\left(x-1\right)}-1\right)x}{2x} by x. Take \frac{e}{2} out of the fraction. Divide fractions \frac{\frac{e}{2}\left(e^{\left(x-1\right)}-1\right)}{\frac{-x}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.