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3) Find the least integer n suchthat f (x ) is 0 (x ) for the given functions. Make sure to show your work and include the smallest corresponding witnesses C and k (a) f (x ) = 5x 4 + 4x + 1 = x4+1 4) Give a big-O estimate for the function below. For the function g in your estimate, f (x ) is 0 (g (x )), use a simple function 8 of smallest order. (5x5+3x²)(xlogx+x³) 10x³ 5) Determine whether the function, f (x ) = 2* + 2 is of order 2 (i.e. determine if f (x ) 0(2 >>. Show your work by determining if f (x ) is 0 (2 ) and ).

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Recurrence Growth Problems
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