**Limit Of Sinx/X As X Approaches Infinity**. One good rule to have while solving these problems is that generally, if there is no x in the. ( e, 1 e) so it depends more on the denominator which varies monotonically within limits.

There is no limit as x goes to infinity of sin (x). Limit of sin(1/n^2) as n approaches infinity.please visit our merch stores and help support the spreading of know. To see it, let us put x = (1/y) in the lim (x→inf.) { sinx) then it becomes = lim (y→0) {sin (1/y)} which does not exist because the values sin (1/y) fluctuate very rapidly.