Class 11 Maths Limits Derivatives Limit of Rational Function

Limit of Rational Function

  • If g(a)/h(a) = 0/0 , re-write the factor and cancel factors which make it 0/0
  • If g(a)/h(a) = k/0, then it is undefined

 

Numerical: Lim xà 1   [ (x3 + 5)/ (x + 20)]

Solution:

Lim xà 1   [ (x3 + 5)/ (x + 20)]

= Lim xà 1 [ (x3 + 5)]    /   Lim xà 1  [(x + 20)]

= 13 + 5 / 1+20

= 2/7

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