Question

Evaluate : lim x tends to 0 x²-5x+6/x²-4

Answer 1

Step-by-step explanation:

lim x tends to 0 x^2 - 3x- 2x+6/(x-2)(x+2)

lim x tends to 0 x( x-3)-2 (x-3)/(x-2)(x+2)

lim x tends to 0 (x-2)(x-3)/(x-2)(x+2)

lim x tends to 0 x-3/x+2

taking limit

-3/2