Deduce that if |x -3| < 1, then |(x + 2)^(2) - 25| < 11|x - 3|

Use this result to show, without using the Limit Laws, that

lim x -> 3 of (x + 2)^(2) = 25

I am really confused and dont understand this question

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- April 24th 2010, 01:42 AMSyNtHeSiSLimits
Deduce that if |x -3| < 1, then |(x + 2)^(2) - 25| < 11|x - 3|

Use this result to show, without using the Limit Laws, that

lim x -> 3 of (x + 2)^(2) = 25

I am really confused and dont understand this question - April 24th 2010, 01:52 AMsimplependulum
- May 7th 2010, 04:06 PMSyNtHeSiS
How are you suppose to know that it is suppose to be manipulated in that way? I would never have thought of that (Surprised)