Please provide justification for each step with good handwriting.

5) (12 points) Determine the following limits. Show all your work and explain your reasoning. 10n2 + 4n - 3 a) Let an = Determine lim -. Explicitly indicate dominant terms when taking the limit. 2 - 3" n-+0o On 4 b) Let On = Find lim n2 + 2n n-+00 *