Using the definitions of big-Oh and , find the upper and lower bounds for the following expressions.

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Using the definitions of big-Oh and Ω, find the upper and lower bounds for the following expressions. Be sure to state appropriate values for c and n0n0.

(a) c1nc1n

(b) c2n3+c3c2n3+c3

(c) c4nlogn+c5nc4nlog⁡n+c5n

(d) c6n2+c7n6c6n2+c7n6

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