Question #d03ef

1 Answer

Limit rarr(1/(x-2)- 4/(x^3-2x^2 ))
=(1/(x-2)-4/(x^2(x-2)) ) now; (1/(x-2)) common

hence
1/(x-2)(1-4/x^2)

1/(x-2)(x^2/x^2-4/x^2) (I took lcm here or else u can cross multiply)

now (a^2-b^2)=(a-b)(a+b)

(1/(x-2))((x-2)(x+2)/(x^2))

(1/cancel(x-2))((cancel(x-2))(x+2)) /(x^2)

now (x+2)/x^2

now as we cannot simplify it further

substitute limits =((2)+2)/(2)^2

hence answer =1