(6) Consider the function
f(x)=(sinx)/(x)
where
x
is in radians. You will need a calculator for the following.
(a) Is the function defined at
x=0,0.5,0.2,0.1,-0.5,-0.2,-0.1
? Explain.
(b) Is the function defined near
x=0
? Explain.
(c) Guess the limit of
f(x)
as
x
approaches 0 ? That is, guess
\lim_(x->0)(sinx)/(x)
. Explain. Use a calculator to understand its graph.