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Question 1 1 pts (EXPLANATION) A student is trying to find the following limit: Vac2 lim -0 4x - The student simplifies the numerator to
Question 1 1 pts (EXPLANATION) A student is trying to find the following limit: Vac2 lim -0 4x - The student simplifies the numerator to x and replaces the denominator with the leading term 4x. lim aC 4x The student concludes that the limit is equal to 1/4. Do you agree with the student's conclusion? If not, what mistake has the student made? Edit View Insert Format Tools Table 12pt V Paragraph BI U AV & V TV :Question 2 1 pts (EXPLANATION) A student is trying to find the following limit: limx-1 3x+6 4x+1 They replace the numerator with its leading term 3x, and the denominator with its leading term 4x. limx-1 4x 3x = The student concludes that the limit is 3/4. Do you agree with the student's conclusion? If not, what mistake has the student made? Edit View Insert Format Tools Table 12pt v Paragraph B I U A & TV :Question 3 1 pts (EXPLANATION) Suppose you know that a function f (a ) is continuous on the interval [1, 3]. Is it guaranteed that f (a ) is continuous at a = 2? Explain your answer. Edit View Insert Format Tools Table 12pt v Paragraph B I U A & TV : p O words > >Question 6 1 pts (EXPLANATION) A function f(t) represents the size of a population after t years. Suppose lim f(t) = 20, 000 t-too How would you interpret that statement in plain English? (Here is an example of an interpretation of f (30) = 5000: "The population after 30 years was 5000.") Edit View Insert Format Tools Table 12pt " Paragraph B I U A & TV :Question 4 1 pts (EXPLANATION) Suppose you know that a function f (a) is continuous on the interval [1, 3]. Is it guaranteed that f (a) is continuous at a = 1? Explain your answer. Edit View Insert Format Tools Table 12pt v Paragraph B I U A & T2v . . . p O words >
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