Flag Differential Calculus> Limits-1...
question mark

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

Mainak Chakraborty , 15 Years ago
Grade Upto college level
anser 1 Answers
Anurag Kishore

Last Activity: 15 Years ago

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

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments