Asked by Ellie
Build a table to estimate lim sin(1/x) as x approaches zero. Use multiples of pi.
I built a table, but do not understand why this limit does not exist. Please explain! Thank you!!
I built a table, but do not understand why this limit does not exist. Please explain! Thank you!!
Answers
Answered by
Steve
for a limit L to exist, you need to be able to show that
lim(h->0) |f(h)-L| -> 0
but, no matter how small an h you pick, you can show that there is a k<h such that sin(1/kฯ) can be anywhere from -1 to +1
lim(h->0) |f(h)-L| -> 0
but, no matter how small an h you pick, you can show that there is a k<h such that sin(1/kฯ) can be anywhere from -1 to +1