mahmoodt0431
mahmoodt0431 mahmoodt0431
  • 05-07-2017
  • Mathematics
contestada

Find the limit.
[tex] \lim_{t \to \-(3/2)^-} sec \pi t[/tex]

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LammettHash
LammettHash LammettHash
  • 05-07-2017
Since [tex]\cos\dfrac{3\pi}2=0[/tex], and [tex]\cos t<0[/tex] for [tex]\pi<t<\dfrac{3\pi}2[/tex] and [tex]\cos t>0[/tex], it follows that

[tex]\displaystyle\lim_{t\to\frac32^-}\sec\pi t=-\infty[/tex]
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