1.O-2 points scalcETB 2.2.001 Explain what is meant by the equation lim f(x) 7.
ID: 2879774 • Letter: 1
Question
1.O-2 points scalcETB 2.2.001 Explain what is meant by the equation lim f(x) 7. If Ix1 21 2l, then lf(x1) 7I If(x2) 71 O The values of f(x) can be made as close to 2 as we like by taking x sufficiently close to 7. O f(x) for all values of x. The values of f(x) can be made as close to 7 as we like by taking x sufficiently close to 2. O If Ix1 21 Ix2 21, then If(x1) 7ls If(x2) 7 Is it possible for this statement to be true and yet f(2) 6? Explain. Yes, the graph could have a hole at (2,7) and be defined such that (2) 6. O Yes, the graph could have a vertical asymptote at x 2 and be defined such that (2) 6. No, if f(2) 6, then lim fx 6 No, if lim f(x) 7, then f(2) 7. Need Help? Read Watch It 2. O -/2 points scalcET8 2002. Explain what it means to say that m fox) 9 m fx) 4 and As x roaches 8 x) approaches 9, but f(8)Explanation / Answer
1)
a)
This is limit.
As x approaches x, value of function tends to 7
Answer:
The values of f(x) can be made as close to 7 as we like by taking x sufficiently close to 2
b)
Remember from the discussion after the first example that limits do not care what the function is actually doing at the point in question. Limits are only concerned with what is going on around the point.
Answer:
yes, the graph can have a hole at (2,7) and be defined such that f(2) = 6
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