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(Solved): Suppose that we use bisection method to find the root of the function f(x)=xsinx1 between [0,2]. ...



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Suppose that we use bisection method to find the root of the function between . Find the new range of root after the second step. a) b) c)


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Bisection Method:   is continuous function on   If    are of opposite signs, then there exists at least one root between a and b. Let   is negative and   is positive. Also let the approximate value of the root be given by   .Now if    then it ensures that    is a root of the equation   If   then the root either lies between    and   between   It depends on weather    is negative or positive.

Given that   
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