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Evaluate the limit $\lim_{x\to0}\left(\frac{2x-e^x+e^{-x}}{\cos\left(x\right)-1}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{2\cdot 0-1\cdot e^0+e^{0}}{\cos\left(0\right)-1}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((2x-e^xe^(-x))/(cos(x)-1)). Evaluate the limit \lim_{x\to0}\left(\frac{2x-e^x+e^{-x}}{\cos\left(x\right)-1}\right) by replacing all occurrences of x by 0. Multiply 2 times 0. Calculate the power e^0. Calculate the power e^{0}.