Limits

lim sin[x]/[x] as x→0

5 Answers

101
Anurag Roy ·

Doesn't exist

661
Gaurav Gardi ·

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.

229
Dwijaraj Paul Chowdhury ·

I think it is ∞

996
Swarna Kamal Dhyawala ·

the limit does not exist left hand limit is not equal to right hand limit

333
Hardik Sheth ·

i think the ans is 1

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