For the identity 5x-6 (x-1)(x+2)(x+3) = A x-1 + B x+2 + C x+3

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

For the identity

\frac{5x-6}{(x-1)(x+2)(x+3)}=\frac{A}{x-1}+\frac{B}{x+2}+\frac{C}{x+3},

find the value of

A+B+C

. (a)

-\dfrac{1}{12}

(b)

0

(c)

1

(d)

-\dfrac{5}{6}