Can we use the epsilon delta definition of a limit to show that -LSB- math -RSB- \ lim \ limits _ -LCB- x \ to 0 -RCB- \ sin \ frac -LCB- 1 -RCB- -LCB- x -RCB- -LSB- / math -RSB- does not exist ?
How do I prove that -LSB- math -RSB- \ displaystyle \ lim _ -LCB- x \ to 0 -RCB- \ sin x = 0 -LSB- / math -RSB- using epsilon-delta definition of a limit ?