Question

I have been trying to figure out these limit problems and I get stuck on trying to move the function around to make it possible to solve.

The first one is:

lim sinx - cosx / tanx - 1
x--> (pi/4)

All I've gotten so far is to replace tanx with sinx/cosx but I don't even know if that's the way to go...


the second is:

lim sqrt(a + 2h) - sqrt(a) / h
h-->0

I tried multiplying by the conjugate, but when I multiply things out, I get stuck at:

2h / h*sqrt(a+2h) + sqrt(a)

pleaseeee help me. I have no idea how to move on from here; I'm terrible at figuring out what to do next in these situations.