1. The problem statement, all variables and given/known data Use a graphing calculator to find [itex]\delta[/itex] when 0<|x - [itex]\pi[/itex]/2|<[itex]\delta[/itex] and |sin(x) - 1|<0.2 2. Relevant equations I don't think there are any other than the format of the previous information: 0<|x-a|<[itex]\delta[/itex] and |f(x)-L|<[itex]\epsilon[/itex] 3. The attempt at a solution Okay, so I used the graphing calculator to graph sinx, y=1.2 and y=0.8 The thing is, L + ε turns out to be greater than 1, so I have something like this (i attached a picture). For [itex]\delta[/itex] I got 0.61. I'm not sure if it's possible, because the line y=1.2 doesn't touch the graph of sinx. Is it possible? Thank you!