Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. x - 9 -does not exist. a. The value of lim xS3 x - 3 b. The value of lim f1x2 is always found by computing f1a2. c. The value of lim f1x2 does not exist if fla2 is undefined. xSa xSa d. lim Vx = 0. (Hint: Graph y xS0 Va.) lim cot x = 0. (Hint: Graph y = cot x.) e. xSp>2

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A: Let us assume

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A:

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A: Consider a function fx. Then, the limit of a function at x=a is given by: limx→a fx=fa

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A: By the €-δ definition of limit,

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A: solution:-limx→∞1000x-6x6+πx51000+17x6+e8=limx→∞x61000x5-6+πxx61000x6+17+e8x6=limx→∞1000x5-6+πx1000x…

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