True or false

(-1)" 23+2 1. For all x E (-1, 1) we have that + C. n=0 3n + 2 2. The 1-st degree Taylor polynomial of f(x) = |x| (centered at 0) is Ti(x) = x. 3. If an > 0 for all natural numbers n and the sequence (an) is decreasing, then there exists a real number L > 0 such that an -> L as n + co