VERIFY ROLLES THEOREM for f(x) = (x² - x - 6)/(x - 1) in [ -2,3] || #swm_media

 

2) Question

 VERIFY ROLLES THEOREM f(x) = (x² - x - 6)/(x - 1) in [ -2,3]

Answer

given f(x) = (x² - x - 6)/(x - 1) , [-2,3]

i) Continuity :-

f(x) is infinite at x = 1 ∈ [-2,3]

therefore f(x) is not continuous in the  [-2,3]

therefore ROLLES THEOREM is not applicable for the given function.