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Assume f (x) is continuous on an interval around x = 0, except possibly at x = 0. What does the table of values suggest
Assume f (x) is continuous on an interval around x = 0, except possibly at x = 0. What does the table of values suggest as the integer value of lim f (x)? x-0 -0.1 -0.01 0.01 0.1 of ( 20 ) 53.987 53.999 53.999 53.987 lim f (x) seems to be equal to Does the limit definitely have this value? NOTE: Select all options that apply. Yes, the table shows this is the limit with certainty. ho limit for sure because forDoes the limit definitely have this value? NOTE: Select all options that apply. Yes, the table shows this is the limit with certainty. No, we do not know the limit for sure because for values of x close to 0 different from those in the table, the values of f (x) might not approach the given value. Yes, the table indicates that for values of x close to 0 different from those in the table, the values of f(x) will approach the given value. No, the function could be approaching, for example, 54.00001 or 53.9999. No, the limit may not exist, even though the table seems to hint it does. Yes, because the function is continuous on an interval around x = 0
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