Find the limit. \lim_(t \to \-(3/2)^-) sec \pi t

Question

Find the limit.

`\lim_(t \to \-(3/2)^-) sec \pi t`

Answer 1

Since
`\cos\frac{3\pi}2=0`, and
`\cos t<0` for
`\pi<t<\frac{3\pi}2` and
`\cos t>0`, it follows that


`\displaystyle\lim_(t\to\frac32^-)\sec\pi t=-\infty`