- Limits & Continuity Course Packet on limits Determine whether each statement is true or false. You have one submission for each statement. (a) For every function f(x), if lim f(x) does not exist, then lim f(x) does not exist. OTrue OFalse (b) For every function f(x), if lim f(x) exists, then lim f(x) exists. X - an OTrue OFalse (c) For every function f(x), if lim f(x) exists, then lim f(x) also exists. OTrue OFalse (d) For every function f(x), if lim fix) and lim f(x) both exist, then lim f(x) also exists. OTrue OFalse (e) For every function f(x), if lim f( x) does not exist, then lim f(x) does not exist. OTrue OFalse (f) For every function f(x), if lim fix) does not exist, then lim f(x) does not exist. x-at OTrue OFalse