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This is problem number 60 of the stewart calculus 8th edition, section 2 .3.
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If the limit as x approaches 0 of the function f of x divided by x squared equals 5, find the following limits.
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The limit is x approaches 0 of f of x for part a, and the limit as x approaches 0 of the function f divided by x for part b.
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For part a, we take a look at the original statement, and we use one of our properties for quotions to rewrite this limit as the limit of f divided by the limit as x approaches 0 of x squared equals to 5 and we can solve for the limit as x perch of 0 of the function f by multiplying both sides by the limit is x approach to 0 of the function x squared the limit as export to 0 of x squared as 0, and then 5 times 0 gives the answer for part a as 0.
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For part b, we will take this original limit and split it up a different way.
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Instead of splitting it up as one limit of f divided by the limit of x squared, we'll just take one of the x's from the denominator and keep it here with the f.
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For the numerator, and then down here we're just off with x...