Lim (sin(pi/x)) as x tends to 0 from both sides
1 answer:
Hello from MrBillDoesMath!
Answer:
Limit does not exist.
Discussion:
The function 1/x has a vertical asymptote as x approaches 0 so
sin (pi/x) has no limit as x approaches 0. In fact, it oscillates wildly between -1 and 1 as x approaches 0. See attached graph of function
Thank you,
MrB
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