Mathematics

Problem

Let

s(x)=(1-x^{2})(3x^{4})

. (a) Write down the leading term of

s(x)

after expanding the product. (b) State whether the graph of

s(x)

is symmetric about the

y

-axis, symmetric about the origin, or neither. (c) Find

\displaystyle \lim_{x\to\infty} s(x)

and

\displaystyle \lim_{x\to -\infty} s(x)