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Evaluate the limit $\lim_{x\to0}\left(\frac{\left(1+x\sin\left(x\right)\right)^{0.5}-\cos\left(2x\right)^{0.5}}{\tan\left(\frac{x}{2}\right)^2}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\left(1+0\sin\left(0\right)\right)^{0.5}- \cos\left(2\cdot 0\right)^{0.5}}{\tan\left(\frac{0}{2}\right)^2}$
Learn how to solve problems step by step online. Find the limit of ((1+xsin(x))^1/2-cos(2x)^1/2)/(tan(x/2)^2) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\left(1+x\sin\left(x\right)\right)^{0.5}-\cos\left(2x\right)^{0.5}}{\tan\left(\frac{x}{2}\right)^2}\right) by replacing all occurrences of x by 0. Multiply 2 times 0. Divide 0 by 2. The sine of 0 equals 0.
