Question

If f(x) = (sin x)/x, what is the limit of the function as x approaches zero? why is it the answer is 1?

Answer 1

if x is in radians then the limit approaches 1
the value of sinx is nearly x when x is very very samll but not 0
hence the ratio tends to 1

Answer 2

is 0/0 equal to one?

Answer 3

no 0/0 is indeterminate

Answer 4

No.0/0 is equal to infinity.It can be 1,2,3,4,5....anything..

Answer 5

- or undefined

Answer 6

no , 0 cannot divide any number

Answer 7

if you differentiate top and bottom you get
cos x
as x ---> 0 cosx ----> 1

Answer 8

- so by hopital's rule sin x / x has same limit