Solve the given limits. (Show all steps in details) [7 x 3 marks] lim(x0)((2+x)^3-8)/x lim(U1)(U^4-1)/(U^3-1) lim(x4)(4x-x^2)/(2-x) lim(x-)(2x-3)/|5x+10000| lim(x)(2x^2-8x^5+3x-100)/(x^3-2x^4+4x^2+3x^5 ) lim(x-6)((2x+8)/(x^2-12)-1/x)/(x+6) lim(x3^- )(x^2 |x-3|)/(x-3) Find the value of the parameter k to make the following limit exist and be finite. What is then the value of the limit? (3 marks) lim(x6)(x^2+kx+12)/(x-6)