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2 years ago

Lim (sin(pi/x)) as x tends to 0 from both sides

Mathematics

1 answer:

strojnjashka [21]2 years ago

8 0

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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Lim (sin(pi/x)) as x tends to 0 from both sides​

Lim (sin(pi/x)) as x tends to 0 from both sides