The function is
, on the interval
.
It follows that
and
.
By intermediate value theorem, we can conclude that there must be some c in
such that
Now we use bisection method for approximating the real zeros of a continuous function.
\In this approximation if
, then the zero must lie in the interval
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0.672 | \\ |
| 0.6751 | \0.672 | \0.673 | \\ |
| \ | \ | \ | \ |
| \ | \ | \ | \ |
The approximated value of zero is
,
.
Now we have to find out zero value using graphical approach.
\
From the above graph the zero value is nearly
, it is located between
and
.
To find out the accurate value of value we further need to zoom the graphing utility as shown below.
\
We clearly observe from the above graph the zero value is nearly
.
The zero value approximated to two decimal points is
.
The zero value approximated to four decimal points is
.