Question

If lim f(x)=5,and lim f(x)=6, then lim f(x)=

Answer 1

where does x approach to in all these cases ?

Answer 2

2

Answer 3

F(x)=5 2^- and f(x)=6 is 2^+

Answer 4

right, ok.

so lim x-> 2 f(x) will be defined if and only if lim x->2- f(x) and lim x-> 2+ f(x) are EQUAL.
if they are not equal, then lim x->2 f(x) does not exist :)

Answer 5

im confused

Answer 6

what confusion you have ?

lim x->2- f(x) is LEFT HAND LIMIT

lim x-> 2+ f(x) is RIGHT HAND LIMIT

if left limit NOT = right limit, then the limit at that point does not exist.

Answer 7

oh i get it

Answer 8

thank you

Answer 9

most welcome ^_^