39two corrections :Prove that a root of f(x) has a multiplicity k if all its derivative till the (k-1)th derivative are 0 at that particular root but k th derivative is not zero at that particular root
and vice versa
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" A root of an equation f(x)=0 is said to have a multiplicity k if its k times repeated root "
eg. (x-1)2=0 has x=1 as a root of multiplicity 2
(x-1)2(x-2)3=0 has x=1 as a root of multiplicity2 and x=2 as a root of multiplicity 3 .
Q Prove that a root of f(x) has a multiplicity k if all its derivative till the (k-1)th derivative are 0 and vice versa
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