Some questions regardinglimits:

1-$\displaystyle \lim(\sin(x)$$\displaystyle + x)/x$

$\displaystyle x\rightarrow+\infty$

In this case, can I say that :

1-$\displaystyle \lim(\sin(x)$ )$\displaystyle /x$$\displaystyle = 0$ $\displaystyle + 1 = 1 ?$

$\displaystyle x\rightarrow+\infty$

I mean, I know that $\displaystyle sin (x)$ when x approaches infinite does not exist, but since it will have a maximum range of 1~-1 I can say it is aproximadely 0?

2-$\displaystyle \lim(\cos(x)$ )$\displaystyle /(\frac{\pi}{2} - x)$

$\displaystyle x\rightarrow\frac{\pi}{2}$

Here I dont have a single clue on how to do, seriously.

Thanks in advance.