please show all the work for this, i really need help with this

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From table we can see that

Left hand limit of  limit x tends to -5  that is f(-4.99) = 7.99401

Right hand limit of  limit x tends to -5  that is f(-5.01) = 3.00601

Since Both left hand and right hand limits are not same therefore function is discontimous at x = -5

hence does not exist 

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