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