Limits

Evaluate the following limits:

  1. $\lim\limits_{{x\rightarrow 0}}^{}$${\dfrac{{1+\sin x}}{{1+\cos x}}}$

  2. $\lim\limits_{{x\rightarrow 0}}^{}$${\dfrac{{\sin x}}{{2x^{2}-x}}}$

  3. $\lim_{{x\rightarrow \infty }}^{}$${\frac{{3x^{3}+4x^{2}+5}}{{7x^{3}-21x^{2}+1}}}$