We have to find: lim x-->2 [(x^2-4)/(x^2+x-6)]
substituting x= 2 gives the indeterminate form 0/0. So we can substitute the numerator and the denominator with their derivatives using l'Hopital's rule.
=> lim x-->2 [ 2x / (2x + 1)]
Substitute x = 2
=> 4/ 5
The required value of...
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We have to find: lim x-->2 [(x^2-4)/(x^2+x-6)]
substituting x= 2 gives the indeterminate form 0/0. So we can substitute the numerator and the denominator with their derivatives using l'Hopital's rule.
=> lim x-->2 [ 2x / (2x + 1)]
Substitute x = 2
=> 4/ 5
The required value of lim x-->2 [(x^2-4)/(x^2+x-6)] = 4/5