Question

How do you get sin(x+2)/x+2 as x approaches -2 to equal 1? I am missing this step and I don't know how to do it.

Answer 1

replace \(x+2\) by \(u\) making
\[\lim_{x\to-2}x+2=\lim_{u\to 0}u\]

Answer 2

then you have
\[\lim_{u\to 0}\frac{\sin(u)}{u}=1\]