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sketch a neat, piecewise function with the following instruction: 1. as x approach infinity, the limit...

sketch a neat, piecewise function with the following instruction: 1. as x approach infinity, the limit of the function approaches an integer other than zero. 2. as x approaches a positive integer, the limit of the function does not exist. 3. as x approaches a negative integer, the limit of the function exists. 4. Must include one horizontal asymtote and one vertical asymtote.

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Here by trail and error method that is taking function that I am well known is used to draw graph

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