1. Calculate the following limits (showing all working): log,(n) + 5" n-0o log7(n) + 7" Vn5 + 2 + /2n® + 1 (a) lim (b) lim 2n3 + 100 27" (n! + 500n) (c) lim n+0 33n+2(n! + n500)

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