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Mainak Chakraborty Grade: Upto college level
        

If α & β be the roots of ax2+bx+c = 0, then limx→α( 1+ax2+bx+c)1/(x-α) is :-

6 years ago

Answers : (1)

Anurag Kishore
37 Points
										

Hi


As α and β are roots


so,


ax2 + bx + c = a(x - α) (x - β)


Let


y = limx->α {1+ a(x - α)(x - β)}1/(x - α)


 


=> log y = limx->α log [1+ a (x - α)(x - β)] / (x - α)


            = limx->α [a(x - α) + a (x - β)] / 1+a(x - β)(x-α)


             = a(α - β)


=> y = ea(α - β)


 


Thanks


Anurag Kishore

6 years ago
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