How solve it?
1 Answer
Jan 25, 2017
The limit equals
Explanation:
Start by factoring and seeing what you can eliminate.
#=>lim_(x->2) (2x^2 - 4x + x - 2)/(x^2(x - 2) - 3(x - 2))#
#=>lim_(x->2) (2x(x - 2) + 1(x - 2))/((x^2 - 3)(x - 2)#
#=>lim_(x->2) ((2x + 1)(x - 2))/((x^2 -3)(x - 2))#
#=>lim_(x->2) (2x + 1)/(x^2 - 3)#
Evaluate through substitution now.
#=>(2(2) + 1)/(2^2 - 3)#
#=>5/1#
#=>5#
Hopefully this helps!
