Hello, I am trying to apply the squeeze theorem to the following:
e^sin(pi/x)
limit as x tends towards zero.
-1 < e^sin(pi/x) > 1
-(pi/x) < e^sin(pi/x) < (pi/x)
plugging in zero to the x variables gives me a limit of zero.
My question is, am I correct in how I have factored the (pi/x) components to the outer edges ?
Thank you.
The fact is that the limit doesn't exist. limit Exp[Sin[Pi/x]] as x to 0 - Wolfram|Alpha