# Evaluate limit as x approaches zero of sin(pi divide x)

Consider the left sided limit.

Make a table to show the behavior of the function as approaches from the left.

As the values approach , the function values approach . Thus, the limit of as approaches from the left is .

Consider the right sided limit.

Make a table to show the behavior of the function as approaches from the right.

As the values approach , the function values approach . Thus, the limit of as approaches from the right is .

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