Question

Find the limit. TexFormula1" title=" \lim_{t \to \-(3/2)^-} sec \pi t" alt=" \lim_{t \to \-(3/2)^-} sec \pi t" align="absmiddle" class="latex-formula">

Answer 1

Since $\cos\dfrac{3\pi}2=0$, and $\cos t$ for $\pi$ and $\cos t>0$, it follows that

$\displaystyle\lim_{t\to\frac32^-}\sec\pi t=-\infty$