Final Answer
Step-by-step Solution
Specify the solving method
Multiplying the fraction by $e^x-e$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to1}\left(\frac{\frac{x\left(e^x-e\right)}{2x-2}}{x}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim((x/(2x-2)(e^x-e))/x). Multiplying the fraction by e^x-e. Divide fractions \frac{\frac{x\left(e^x-e\right)}{2x-2}}{x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Simplify the fraction \frac{x\left(e^x-e\right)}{\left(2x-2\right)x} by x. If we directly evaluate the limit \lim_{x\to 1}\left(\frac{e^x-e}{2x-2}\right) as x tends to 1, we can see that it gives us an indeterminate form.