Let:Originally Posted byKiwigirl

.

We wish to find a zero of in the interval . We know it has a zero

in this interval as it changes sign between and .

Here we are going to use binary chop, In the following tableau we have

in each row a lower limit of the interval containing the zeros, the

value of the function at the lower limit, the upper limit of the interval

containing the zeros, the value of the function at the upper limit,

the mid-point of the interval and the value of the function at the mid=point.

To obtain the following row from a row the value of the upper or lower limit

of the interval is replaced by the mid-point according to the sign of the

function at the mid-point. This process is continued until the upper and

lower limits of the interval are equal to two significant digits.

So the zero we seek is .

RonL