Contextual Applications of Differentiation · Easy problem

$\displaystyle\lim_{x\to0}\dfrac{x+2}{x+1}$

$\displaystyle\lim_{x\to0}\dfrac{\sin x}{x+1}$

$\displaystyle\lim_{x\to3}\dfrac{x-3}{x^2-9}$

$\displaystyle\lim_{x\to1}\dfrac{x+5}{x-2}$