True or False. lim x→a f(x) = L means that if x1 is closer to a than x2 is, then f(x1) will be closer to L than f(x2) is.

Answer 1

false

limit of sinx/x as x approaches 0 = 1,

but sin(2pi)/2pi =0 while sin(2.5pi)/2.5pi = about .128