Calculus 3

(3) (8 points) Show that + 1 - cos y lim 1. (c,y) - (0,0) c ty2 Hint: First, show that 1 - cosy lim 1. y-+0 yz This allows you to write 1 - cos' y = c(y) - y with c(y) -> 1 as y - 0. Substitute and rewrite into polar coordinates