Question

lim --> 3+ sec (pi(x)/6)

Answer 1

\[\lim_{x \rightarrow 3+} \sec \frac{ \pi(x) }{ 6 }\]

Answer 2

you would get
\[\sec(\frac{\pi}{2})\] which is undefined

Answer 3

since you are going from the right, take a look at the graph of secant to see if you get infinity or minus infinity

Answer 4

minus infinity

Answer 5

How do you end up with sec (pi/2) though?

Answer 6

\[\frac{3}{6}=\frac{1}{2}\]

Answer 7

So once I have sec pi/2 , what happens?

Answer 8

exactly

Answer 9

you are approaching it from the right, i.e. through numbers larger than \(\frac{\pi}{2}\)

Answer 10

So I just put that the limit is minus infinity after that?