Determine the order of growth

\\\\Theta (*)

of the following functions and then prove your answer with the limit test, application of

log

properties, or an appropriate theorem. You must show your work! Correct answers with no justification may receive no eredit.\ (a)

(n^(2)+1)^(10)

\ (b)

\\\\sqrt(10n^(2)+7n+3)

\ (c)

2nlog((n+2)^(2))+(n+2)^(2)log((n)/(2))

\ (d)

2^(n+1)+3^(n-1)

\ (e)

|log_(2)n|

Determine the order of growth () of the following functions and then prove your answer with the limit test, application of log properties, or an appropriate theorem. You must show your work! Correct answers with no justification may receive no credit. (a) (n2+1)10 (b) 10n2+7n+3 (c) 2nlog((n+2)2)+(n+2)2log(n/2) (ii) 22n+1+3n1 (e) log2n