answer with a bit of working pls

4. Evaluate the limit and justify each step by indicating the appropriate properties of limits. 3x2 - x + 4 12x3 - 5x + 2 lim lim x->00 2x2 + 5x - 8 X->00 1 + 4x2 + 3x3 a) b)5. Find the derivatives of the following. (Hint: Product/Quotient Rule required) \"0:2315 a) \f6) Use the Intermediate Value Theorem to show that there is a root of the given equation in the specied interval. {/E=1x, (0,1)