Homework Solution: Explanation and some work please. Please use L'Hôpital's Rule for the exlpanation and work….

    Explanation and some work please. Please use L'Hôpital's Rule for the exlpanation and work. 1 Growth of Functions (50 points) For each of the following pair of functions f(n) and g(n), decide if f(n)-O((n), or g(n) O(f(n)), and explain. (1) f(n) = 2n, g(n) = nlogn (2) f(n)=ym, g(n)= (log n)2 (3) f(n)= n, g(n)= (4) f(n) = n3 +2n2 + 10n, g(n) = 100㎡ (5) f(n)= (log n)3 + 5 log n·g(n)= n
    For each of the following pair of functions f(n) and g(n), decide if f(n) = O (g(n), or g(n) = O(f(n)), and explain. (1) f(n) = 2^n, g(n) = n^log n (2) f(n) = squareroot n, g(n) = (log n)^2 (3) f(n) = n^1/3, g(n) = n/log n (4) f(n) = n^3 + 2n^2 + 10n, g(n) = 100 n^2 (5) f(n) = (log n)^3 + 5 log n, g(n) = n

    Expert Answer

    Explanation and some effort content. Content portraiture L’Hôpital’s Rule coercion the exlpanation and effort.

    1 Growth of Functions (50 points) Coercion each of the subjoined couple of functions f(n) and g(n), career if f(n)-O((n), or g(n) O(f(n)), and elucidate. (1) f(n) = 2n, g(n) = nlogn (2) f(n)=ym, g(n)= (log n)2 (3) f(n)= n, g(n)= (4) f(n) = n3 +2n2 + 10n, g(n) = 100㎡ (5) f(n)= (log n)3 + 5 log n·g(n)= n

    Coercion each of the subjoined couple of functions f(n) and g(n), career if f(n) = O (g(n), or g(n) = O(f(n)), and elucidate. (1) f(n) = 2^n, g(n) = n^log n (2) f(n) = squareroot n, g(n) = (log n)^2 (3) f(n) = n^1/3, g(n) = n/log n (4) f(n) = n^3 + 2n^2 + 10n, g(n) = 100 n^2 (5) f(n) = (log n)^3 + 5 log n, g(n) = n

    Expert Exculpation

     

    1) 

    f(n) > g(n) , hereafter g(n) = O(f(n))

    2. f(n) > g(n) , hereafter g(n) = O(f(n))

    3. g(n) > f(n), hereafter f(n) = O(g(n))

    4: as f(n) has the max promise as n^3 and g(n) is of regulate n^2, hereafter f(n) > g(n), hereafter g(n) = O(f(n))

    5. g(n) > f(n), hereafter f(n) = O(g(n))