GATE Civil Engineering
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Which one of the following is correct?

  1. $\lim_{x\rightarrow 0} ( \frac{sin4x}{sin2x})=2 $ and $\lim_{x\rightarrow 0} ( \frac{tanx}{x})=1$
  2. $\lim_{x\rightarrow 0} ( \frac{sin4x}{sin2x})=1$ and $\lim_{x\rightarrow 0} ( \frac{tanx}{x})=1$
  3. $\lim_{x\rightarrow 0} ( \frac{sin4x}{sin2x})=$ $\infty$ and $\lim_{x\rightarrow 0} ( \frac{tanx}{x})=1$
  4. $\lim_{x\rightarrow 0} ( \frac{sin4x}{sin2x})=2$ and $\lim_{x\rightarrow 0} ( \frac{tanx}{x})= \infty$
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