Doesn't exist
5 Answers
Gaurav Gardi
·2013-02-26 20:02:23
limit does not exist
lim(x→0+)sin[x]/[x] is purely 0/0 as [0+]=0 and sin0=0 so limit becomes 0/0(absolute value not (something→0)/(something else→0))
so it is not defined.
limx(x→0-) is sin(-1)/(-1) which is a real number.
hence the given limit does not exist.
Swarna Kamal Dhyawala
·2013-02-26 08:30:48
the limit does not exist left hand limit is not equal to right hand limit