Question

lim x approaches pi/2 sin3x/x

Answer 1

The function is continuous at \( x = \frac \pi 2\)

Answer 2

Replace x by its value and you are done.
\[

\sin\left( \frac {3 \pi}2 \right)=?
\]

Answer 3

still cannot understand answer. sinx/x =1 how to find sin 3x/x using pi/2 ?

Answer 4

Limit of sinx/x =1 when x approaches zero which makes 0/0 consideration. Here we do not have this problem. In fact, it is given to trick you into using sinx/x, but you should not

Answer 5

\[
\sin\left( \frac {3 \pi}2 \right)=-1\\


\]

Answer 6

The limit is
\[
\Large
\frac {-1}
{\frac {\pi}2}= - \frac 2 { \pi}
\]