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Limit soving

  1. Jan 27, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\tan x[/tex]


    2. Relevant equations

    answer is (-1)

    3. The attempt at a solution

    [tex]\lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\tan x= \lim_{x\to\frac{\pi}{2}}(x-\frac{\pi}{2})\cdot\frac{1-\cos(2x)}{\sin(2x)} [/tex]
     
  2. jcsd
  3. Jan 27, 2008 #2

    morphism

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    Try rewriting it as (x - pi/2)/(cotx). Why is this helpful?
     
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