(ii) `3(2x-3)+2(3x-2)=5`

2x-(3x-3)=3x-5

lim_ (x rarr oo) ((2x-3) ^ (2) (3x + 2) ^ (3)) / ((2x + 1) ^ (5))

3 ((3x-1) / (2x + 3))-2 ((2x + 3) / (3x-1)) = 5, x! = (1) / (3),-(3) / (2) )

3 ((3x-1) / (2x + 3))-2 ((2x + 3) / (3x-1)) = 5, x! = (1) / (3),-(3) / (2) )

2(2x-5)+3(3x-2)=5(5x-1)

(2)/(2x-3)+(5)/((2x-3)^(2))=(3)/(3x-2)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Find x , if (3/2)^(-3)x\ (3/2)^5=(3/2)^(2x+1)^(\ )

3(x+4)-2(x-2)=5(x+5)+3

Find the vertical asymptotes and holes of (3(2x+5)^3(8x-3)^2(x-3))/(2(8x-3)^2(2x+5)) .