please solve these problems and show me your work . thanks

Math 180 Worksheets W2 6. Consider the function f(x) 3x2 - x 2 2 - 6x + 5 (a) List any vertical asymptotes of f(x), and explain, using limits, why each is a vertical asymptote. (b) List any horizontal asymptotes of f(x), and explain, using limits, why each is a horizontal asymptote. 8Math 180 Worksheets W2 5. (a) Evaluate the following limits. i. lim [-2x4 - 2:2 - 8x] -6207- 4202 + 2 I- - 00 iii. lim 20 - - 00 202 - 3x + 5 [325 - 203 + 8x 2x2 - 3x ii. lim iv. lim 525 - 7 20- + 00 24 - 7 (b) Which, if any, of the functions above(i, ii, iii, iv,) have horizontal asymptotes? Explain why (or justify) using limits.Math 180 V W2 3. Let f(x) = x* cos (a) Fill in the blanks by using algebraic operations to change the first inequality below. -1