Use the Intermediate Value Theorem to show there is a root between
State the conditions of the Intermediate Value Theorem: 'Since
is continuous on the closed domain ...
Prove the thesis of the IVT: ... and
and , there must be a value , on , such that .
. Use Newton's Method to find .
Check your work:
How close is
to the actual root of ? Calculate the error. and the actual root should be very close.