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Precise definition of a limit 
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#1
Sep1509, 12:42 PM

P: 19

1. The problem statement, all variables and given/known data
2. Relevant equations 3. The attempt at a solution Given points (0.8,0.5), (1.2,1.5) f(x) =x^2 x^21 < 1/2 whenever x1 <delta correct to four decimals round down if necessary 


#2
Sep1509, 12:55 PM

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#3
Sep1609, 07:08 AM

P: 19

Use the given graph of(x) =x^2 x^21 < 1/2 whenever x1 <delta .The Given points on the graph are(0.8,0.5), (1.2,1.5). Please give your answer to the value of delta, where deltaor any smaller positive number will satisfy all conditions. correct to four decimals, round down if necessary.



#4
Sep1609, 09:25 AM

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P: 21,397

Precise definition of a limit
That's not much of an improvement over what you had in the first post. Here is what I think the given problem is.
f(x) = x^{2}In other words, how close to 1 must x be so that x^{2} will be within 1/2 of 1? Draw a graph of the function. On your graph, draw a horizontal line through the point (1, 1). Draw two more horizontal lines, one 1/2 unit above the first line and the other, 1/2 unit below the first line. At the points where these two lines intersect the graph of y = x^{2} in the first quadrant, draw vertical lines down to the xaxis. The two intervals to the left and right of (1, 0) can help you find what delta needs to be. 


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