A problem by Mohammad ElKammash
Find the maximum integer value of b which satisfy the continuity of on where
=
The answer is 5.
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1 solution
f is a rational function which means it is continuous over the interval of the reals excluding the elements which satisfy x²+bx+9=0 . f is continuous over the reals (R) implies that our interval is within the set of the reals, that means it equals the set of the reals, hence no element should be excluded. Therefore the discriminant b²-6² should be strictly negative and b is an integer. Based on that the answer is 5.