Solve $ \lim_{x \rightarrow 0^+}\frac{\cos{2\sqrt{x}-1+2x}}{x^2}=$ :
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举一反三
- Solve $\lim_{x \rightarrow 0}\frac{x\cos{x}-\sin{x}}{x^3}=$:<br/>______
- Solve $ \lim_{x \rightarrow \infty}[x-x^2\ln{(1+\frac{1}{x}})]=$ :<br/>______
- \( \lim \limits_{x \to 0} { { \sqrt {1 + x\sin x} - \cos x} \over { { {\sin }^2}{x \over 2}}} = \)______ 。
- \({\lim_{x\to 0}}\)\({\lim_{y\to 0}}\)\(\frac{xy}{x^2+y^2}\) <br/>______
- \({\lim_{x\to0}}\)\({\lim_{y\to0}}\)xy\(\frac{x^2-y^2}{x^2+y^2}\)= <br/>______