How Does $\frac{1+\sin(x)}{x}=1 + \frac{\sin(x)}{x}$? I am asking this because I have faced a (limits) question where, in order to solve the equation, I had to do the following steps: 

I am not sure how the second step went from having a denominator of  $\frac{1+\sin(x)}{x}$ to having a denominator of $1 + \frac{\sin(x)}{x}$ in the third step. Can anyone please help explain how this is possible, to me?
All help is greatly appreciated.

Indeed there was a typo, but it is earlier than the step that you pointed out. Instead of $$\frac{1+\sin(x)}{x}$$ it should have been $$\frac{x+\sin(x)}{x}$$
